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Finding the Fourth Proportional to 12,689.76, 17,511.84 and 7,384.89

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Solution

The fourth proportional to 12,689.76, 17,511.84 and 7,384.89 is: 10,191.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.76 : 17,511.84 = 7,384.89 : x
  2. Step 2: Convert to fraction form
    12,689.76/17,511.84 = 7,384.89/x
  3. Step 3: Cross multiply
    12,689.76x = 17,511.84 × 7,384.89
  4. Step 4: Simplify right side
    12,689.76x = 129,323,012.10
  5. Step 5: Solve for x
    x = 129,323,012.10/12,689.76
  6. Step 6: Final answer
    x = 10,191.13

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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.