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Finding the Fourth Proportional to 15,666.12, 23,481.84 and 7,339.32

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Solution

The fourth proportional to 15,666.12, 23,481.84 and 7,339.32 is: 11,000.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,666.12 : 23,481.84 = 7,339.32 : x
  2. Step 2: Convert to fraction form
    15,666.12/23,481.84 = 7,339.32/x
  3. Step 3: Cross multiply
    15,666.12x = 23,481.84 × 7,339.32
  4. Step 4: Simplify right side
    15,666.12x = 172,340,737.95
  5. Step 5: Solve for x
    x = 172,340,737.95/15,666.12
  6. Step 6: Final answer
    x = 11,000.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.