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Finding the Fourth Proportional to 23,513.29, 32,449 and 12,903.61

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Solution

The fourth proportional to 23,513.29, 32,449 and 12,903.61 is: 17,807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,513.29 : 32,449 = 12,903.61 : x
  2. Step 2: Convert to fraction form
    23,513.29/32,449 = 12,903.61/x
  3. Step 3: Cross multiply
    23,513.29x = 32,449 × 12,903.61
  4. Step 4: Simplify right side
    23,513.29x = 418,709,240.89
  5. Step 5: Solve for x
    x = 418,709,240.89/23,513.29
  6. Step 6: Final answer
    x = 17,807.34

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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.