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Finding the Fourth Proportional to 24,123.65, 36,182.73 and 9,328.59

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Solution

The fourth proportional to 24,123.65, 36,182.73 and 9,328.59 is: 13,991.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,123.65 : 36,182.73 = 9,328.59 : x
  2. Step 2: Convert to fraction form
    24,123.65/36,182.73 = 9,328.59/x
  3. Step 3: Cross multiply
    24,123.65x = 36,182.73 × 9,328.59
  4. Step 4: Simplify right side
    24,123.65x = 337,533,853.25
  5. Step 5: Solve for x
    x = 337,533,853.25/24,123.65
  6. Step 6: Final answer
    x = 13,991.83

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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.