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Finding the Fourth Proportional to 15,098.96, 22,652.35 and 5,739.14

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Solution

The fourth proportional to 15,098.96, 22,652.35 and 5,739.14 is: 8,610.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,098.96 : 22,652.35 = 5,739.14 : x
  2. Step 2: Convert to fraction form
    15,098.96/22,652.35 = 5,739.14/x
  3. Step 3: Cross multiply
    15,098.96x = 22,652.35 × 5,739.14
  4. Step 4: Simplify right side
    15,098.96x = 130,005,007.98
  5. Step 5: Solve for x
    x = 130,005,007.98/15,098.96
  6. Step 6: Final answer
    x = 8,610.20

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Why These Related Problems?

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