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Finding the Fourth Proportional to 15,123.92, 22,682.40 and 5,765

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Solution

The fourth proportional to 15,123.92, 22,682.40 and 5,765 is: 8,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,123.92 : 22,682.40 = 5,765 : x
  2. Step 2: Convert to fraction form
    15,123.92/22,682.40 = 5,765/x
  3. Step 3: Cross multiply
    15,123.92x = 22,682.40 × 5,765
  4. Step 4: Simplify right side
    15,123.92x = 130,764,036.00
  5. Step 5: Solve for x
    x = 130,764,036.00/15,123.92
  6. Step 6: Final answer
    x = 8,646.17

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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.