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Finding the Fourth Proportional to 24,366.96, 36,551.75 and 7,725.78

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Solution

The fourth proportional to 24,366.96, 36,551.75 and 7,725.78 is: 11,589.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,366.96 : 36,551.75 = 7,725.78 : x
  2. Step 2: Convert to fraction form
    24,366.96/36,551.75 = 7,725.78/x
  3. Step 3: Cross multiply
    24,366.96x = 36,551.75 × 7,725.78
  4. Step 4: Simplify right side
    24,366.96x = 282,390,779.12
  5. Step 5: Solve for x
    x = 282,390,779.12/24,366.96
  6. Step 6: Final answer
    x = 11,589.09

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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.