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Finding the Fourth Proportional to 24,377.64, 36,567.50 and 7,737.31

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Solution

The fourth proportional to 24,377.64, 36,567.50 and 7,737.31 is: 11,606.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,377.64 : 36,567.50 = 7,737.31 : x
  2. Step 2: Convert to fraction form
    24,377.64/36,567.50 = 7,737.31/x
  3. Step 3: Cross multiply
    24,377.64x = 36,567.50 × 7,737.31
  4. Step 4: Simplify right side
    24,377.64x = 282,934,083.43
  5. Step 5: Solve for x
    x = 282,934,083.43/24,377.64
  6. Step 6: Final answer
    x = 11,606.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.