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Finding the Fourth Proportional to 23,511.68, 32,446.16 and 12,901.76

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Solution

The fourth proportional to 23,511.68, 32,446.16 and 12,901.76 is: 17,804.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,511.68 : 32,446.16 = 12,901.76 : x
  2. Step 2: Convert to fraction form
    23,511.68/32,446.16 = 12,901.76/x
  3. Step 3: Cross multiply
    23,511.68x = 32,446.16 × 12,901.76
  4. Step 4: Simplify right side
    23,511.68x = 418,612,569.24
  5. Step 5: Solve for x
    x = 418,612,569.24/23,511.68
  6. Step 6: Final answer
    x = 17,804.45

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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.