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Finding the Fourth Proportional to 23,411.52, 32,324.80 and 14,471.28

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Solution

The fourth proportional to 23,411.52, 32,324.80 and 14,471.28 is: 19,980.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,411.52 : 32,324.80 = 14,471.28 : x
  2. Step 2: Convert to fraction form
    23,411.52/32,324.80 = 14,471.28/x
  3. Step 3: Cross multiply
    23,411.52x = 32,324.80 × 14,471.28
  4. Step 4: Simplify right side
    23,411.52x = 467,781,231.74
  5. Step 5: Solve for x
    x = 467,781,231.74/23,411.52
  6. Step 6: Final answer
    x = 19,980.81

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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.