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Finding the Fourth Proportional to 24,871.75, 34,330.24 and 14,807.23

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Solution

The fourth proportional to 24,871.75, 34,330.24 and 14,807.23 is: 20,438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,871.75 : 34,330.24 = 14,807.23 : x
  2. Step 2: Convert to fraction form
    24,871.75/34,330.24 = 14,807.23/x
  3. Step 3: Cross multiply
    24,871.75x = 34,330.24 × 14,807.23
  4. Step 4: Simplify right side
    24,871.75x = 508,335,685.60
  5. Step 5: Solve for x
    x = 508,335,685.60/24,871.75
  6. Step 6: Final answer
    x = 20,438.28

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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.