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Finding the Fourth Proportional to 15,098.56, 22,648.14 and 5,238.16

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Solution

The fourth proportional to 15,098.56, 22,648.14 and 5,238.16 is: 7,857.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,098.56 : 22,648.14 = 5,238.16 : x
  2. Step 2: Convert to fraction form
    15,098.56/22,648.14 = 5,238.16/x
  3. Step 3: Cross multiply
    15,098.56x = 22,648.14 × 5,238.16
  4. Step 4: Simplify right side
    15,098.56x = 118,634,581.02
  5. Step 5: Solve for x
    x = 118,634,581.02/15,098.56
  6. Step 6: Final answer
    x = 7,857.34

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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.