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Finding the Fourth Proportional to 24,437, 36,655.50 and 8,854.62

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Solution

The fourth proportional to 24,437, 36,655.50 and 8,854.62 is: 13,281.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,437 : 36,655.50 = 8,854.62 : x
  2. Step 2: Convert to fraction form
    24,437/36,655.50 = 8,854.62/x
  3. Step 3: Cross multiply
    24,437x = 36,655.50 × 8,854.62
  4. Step 4: Simplify right side
    24,437x = 324,570,523.41
  5. Step 5: Solve for x
    x = 324,570,523.41/24,437
  6. Step 6: Final answer
    x = 13,281.93

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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.