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Finding the Fourth Proportional to 24,382.61, 36,579.08 and 7,740.55

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Solution

The fourth proportional to 24,382.61, 36,579.08 and 7,740.55 is: 11,612.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,382.61 : 36,579.08 = 7,740.55 : x
  2. Step 2: Convert to fraction form
    24,382.61/36,579.08 = 7,740.55/x
  3. Step 3: Cross multiply
    24,382.61x = 36,579.08 × 7,740.55
  4. Step 4: Simplify right side
    24,382.61x = 283,142,197.69
  5. Step 5: Solve for x
    x = 283,142,197.69/24,382.61
  6. Step 6: Final answer
    x = 11,612.46

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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.