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Finding the Fourth Proportional to 23,511.68, 32,446.08 and 12,901.28

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Solution

The fourth proportional to 23,511.68, 32,446.08 and 12,901.28 is: 17,803.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,511.68 : 32,446.08 = 12,901.28 : x
  2. Step 2: Convert to fraction form
    23,511.68/32,446.08 = 12,901.28/x
  3. Step 3: Cross multiply
    23,511.68x = 32,446.08 × 12,901.28
  4. Step 4: Simplify right side
    23,511.68x = 418,595,962.98
  5. Step 5: Solve for x
    x = 418,595,962.98/23,511.68
  6. Step 6: Final answer
    x = 17,803.75

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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.