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Finding the Fourth Proportional to 15,523.32, 23,288.82 and 5,136.12

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Solution

The fourth proportional to 15,523.32, 23,288.82 and 5,136.12 is: 7,705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,523.32 : 23,288.82 = 5,136.12 : x
  2. Step 2: Convert to fraction form
    15,523.32/23,288.82 = 5,136.12/x
  3. Step 3: Cross multiply
    15,523.32x = 23,288.82 × 5,136.12
  4. Step 4: Simplify right side
    15,523.32x = 119,614,174.18
  5. Step 5: Solve for x
    x = 119,614,174.18/15,523.32
  6. Step 6: Final answer
    x = 7,705.45

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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.