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Finding the Fourth Proportional to 15,775.34, 23,663.46 and 5,387

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Solution

The fourth proportional to 15,775.34, 23,663.46 and 5,387 is: 8,080.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,775.34 : 23,663.46 = 5,387 : x
  2. Step 2: Convert to fraction form
    15,775.34/23,663.46 = 5,387/x
  3. Step 3: Cross multiply
    15,775.34x = 23,663.46 × 5,387
  4. Step 4: Simplify right side
    15,775.34x = 127,475,059.02
  5. Step 5: Solve for x
    x = 127,475,059.02/15,775.34
  6. Step 6: Final answer
    x = 8,080.65

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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.