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Finding the Fourth Proportional to 15,658.16, 23,487.20 and 5,269.91

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Solution

The fourth proportional to 15,658.16, 23,487.20 and 5,269.91 is: 7,904.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,658.16 : 23,487.20 = 5,269.91 : x
  2. Step 2: Convert to fraction form
    15,658.16/23,487.20 = 5,269.91/x
  3. Step 3: Cross multiply
    15,658.16x = 23,487.20 × 5,269.91
  4. Step 4: Simplify right side
    15,658.16x = 123,775,286.37
  5. Step 5: Solve for x
    x = 123,775,286.37/15,658.16
  6. Step 6: Final answer
    x = 7,904.84

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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.