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Finding the Fourth Proportional to 24,376.65, 36,569.43 and 7,740.87

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Solution

The fourth proportional to 24,376.65, 36,569.43 and 7,740.87 is: 11,612.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,376.65 : 36,569.43 = 7,740.87 : x
  2. Step 2: Convert to fraction form
    24,376.65/36,569.43 = 7,740.87/x
  3. Step 3: Cross multiply
    24,376.65x = 36,569.43 × 7,740.87
  4. Step 4: Simplify right side
    24,376.65x = 283,079,203.60
  5. Step 5: Solve for x
    x = 283,079,203.60/24,376.65
  6. Step 6: Final answer
    x = 11,612.72

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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.