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Finding the Fourth Proportional to 21,471.64, 32,165.54 and 14,792.38

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Solution

The fourth proportional to 21,471.64, 32,165.54 and 14,792.38 is: 22,159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,471.64 : 32,165.54 = 14,792.38 : x
  2. Step 2: Convert to fraction form
    21,471.64/32,165.54 = 14,792.38/x
  3. Step 3: Cross multiply
    21,471.64x = 32,165.54 × 14,792.38
  4. Step 4: Simplify right side
    21,471.64x = 475,804,890.59
  5. Step 5: Solve for x
    x = 475,804,890.59/21,471.64
  6. Step 6: Final answer
    x = 22,159.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.