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Finding the Fourth Proportional to 12,689.76, 17,511.61 and 7,024.50

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Solution

The fourth proportional to 12,689.76, 17,511.61 and 7,024.50 is: 9,693.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.76 : 17,511.61 = 7,024.50 : x
  2. Step 2: Convert to fraction form
    12,689.76/17,511.61 = 7,024.50/x
  3. Step 3: Cross multiply
    12,689.76x = 17,511.61 × 7,024.50
  4. Step 4: Simplify right side
    12,689.76x = 123,010,280.30
  5. Step 5: Solve for x
    x = 123,010,280.30/12,689.76
  6. Step 6: Final answer
    x = 9,693.67

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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.