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Finding the Fourth Proportional to 17,475.76, 24,112.76 and 10,400.80

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Solution

The fourth proportional to 17,475.76, 24,112.76 and 10,400.80 is: 14,350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,475.76 : 24,112.76 = 10,400.80 : x
  2. Step 2: Convert to fraction form
    17,475.76/24,112.76 = 10,400.80/x
  3. Step 3: Cross multiply
    17,475.76x = 24,112.76 × 10,400.80
  4. Step 4: Simplify right side
    17,475.76x = 250,791,994.21
  5. Step 5: Solve for x
    x = 250,791,994.21/17,475.76
  6. Step 6: Final answer
    x = 14,350.85

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.