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Finding the Fourth Proportional to 23,532.32, 32,478 and 14,101.76

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Solution

The fourth proportional to 23,532.32, 32,478 and 14,101.76 is: 19,462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,532.32 : 32,478 = 14,101.76 : x
  2. Step 2: Convert to fraction form
    23,532.32/32,478 = 14,101.76/x
  3. Step 3: Cross multiply
    23,532.32x = 32,478 × 14,101.76
  4. Step 4: Simplify right side
    23,532.32x = 457,996,961.28
  5. Step 5: Solve for x
    x = 457,996,961.28/23,532.32
  6. Step 6: Final answer
    x = 19,462.47

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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.