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Finding the Fourth Proportional to 24,454.16, 36,681.24 and 6,924.14

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Solution

The fourth proportional to 24,454.16, 36,681.24 and 6,924.14 is: 10,386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,454.16 : 36,681.24 = 6,924.14 : x
  2. Step 2: Convert to fraction form
    24,454.16/36,681.24 = 6,924.14/x
  3. Step 3: Cross multiply
    24,454.16x = 36,681.24 × 6,924.14
  4. Step 4: Simplify right side
    24,454.16x = 253,986,041.13
  5. Step 5: Solve for x
    x = 253,986,041.13/24,454.16
  6. Step 6: Final answer
    x = 10,386.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.