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Finding the Fourth Proportional to 24,228.81, 36,347.25 and 7,585.53

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Solution

The fourth proportional to 24,228.81, 36,347.25 and 7,585.53 is: 11,379.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,228.81 : 36,347.25 = 7,585.53 : x
  2. Step 2: Convert to fraction form
    24,228.81/36,347.25 = 7,585.53/x
  3. Step 3: Cross multiply
    24,228.81x = 36,347.25 × 7,585.53
  4. Step 4: Simplify right side
    24,228.81x = 275,713,155.29
  5. Step 5: Solve for x
    x = 275,713,155.29/24,228.81
  6. Step 6: Final answer
    x = 11,379.56

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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.