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Finding the Fourth Proportional to 15,658.77, 23,475.79 and 7,764

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Solution

The fourth proportional to 15,658.77, 23,475.79 and 7,764 is: 11,639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,658.77 : 23,475.79 = 7,764 : x
  2. Step 2: Convert to fraction form
    15,658.77/23,475.79 = 7,764/x
  3. Step 3: Cross multiply
    15,658.77x = 23,475.79 × 7,764
  4. Step 4: Simplify right side
    15,658.77x = 182,266,033.56
  5. Step 5: Solve for x
    x = 182,266,033.56/15,658.77
  6. Step 6: Final answer
    x = 11,639.87

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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.