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Finding the Fourth Proportional to 23,354.64, 32,229.40 and 14,971.14

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Solution

The fourth proportional to 23,354.64, 32,229.40 and 14,971.14 is: 20,660.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,354.64 : 32,229.40 = 14,971.14 : x
  2. Step 2: Convert to fraction form
    23,354.64/32,229.40 = 14,971.14/x
  3. Step 3: Cross multiply
    23,354.64x = 32,229.40 × 14,971.14
  4. Step 4: Simplify right side
    23,354.64x = 482,510,859.52
  5. Step 5: Solve for x
    x = 482,510,859.52/23,354.64
  6. Step 6: Final answer
    x = 20,660.17

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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.