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Finding the Fourth Proportional to 17,778.66, 24,534.24 and 9,820.74

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Solution

The fourth proportional to 17,778.66, 24,534.24 and 9,820.74 is: 13,552.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.66 : 24,534.24 = 9,820.74 : x
  2. Step 2: Convert to fraction form
    17,778.66/24,534.24 = 9,820.74/x
  3. Step 3: Cross multiply
    17,778.66x = 24,534.24 × 9,820.74
  4. Step 4: Simplify right side
    17,778.66x = 240,944,392.14
  5. Step 5: Solve for x
    x = 240,944,392.14/17,778.66
  6. Step 6: Final answer
    x = 13,552.45

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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.