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Finding the Fourth Proportional to 24,847.16, 34,292 and 14,240.20

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Solution

The fourth proportional to 24,847.16, 34,292 and 14,240.20 is: 19,653.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,847.16 : 34,292 = 14,240.20 : x
  2. Step 2: Convert to fraction form
    24,847.16/34,292 = 14,240.20/x
  3. Step 3: Cross multiply
    24,847.16x = 34,292 × 14,240.20
  4. Step 4: Simplify right side
    24,847.16x = 488,324,938.40
  5. Step 5: Solve for x
    x = 488,324,938.40/24,847.16
  6. Step 6: Final answer
    x = 19,653.15

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