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Finding the Fourth Proportional to 24,259.60, 33,475.86 and 13,649

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Solution

The fourth proportional to 24,259.60, 33,475.86 and 13,649 is: 18,834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,259.60 : 33,475.86 = 13,649 : x
  2. Step 2: Convert to fraction form
    24,259.60/33,475.86 = 13,649/x
  3. Step 3: Cross multiply
    24,259.60x = 33,475.86 × 13,649
  4. Step 4: Simplify right side
    24,259.60x = 456,912,013.14
  5. Step 5: Solve for x
    x = 456,912,013.14/24,259.60
  6. Step 6: Final answer
    x = 18,834.28

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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.