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Finding the Fourth Proportional to 24,762.66, 37,136.40 and 8,965.80

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Solution

The fourth proportional to 24,762.66, 37,136.40 and 8,965.80 is: 13,445.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,762.66 : 37,136.40 = 8,965.80 : x
  2. Step 2: Convert to fraction form
    24,762.66/37,136.40 = 8,965.80/x
  3. Step 3: Cross multiply
    24,762.66x = 37,136.40 × 8,965.80
  4. Step 4: Simplify right side
    24,762.66x = 332,957,535.12
  5. Step 5: Solve for x
    x = 332,957,535.12/24,762.66
  6. Step 6: Final answer
    x = 13,445.95

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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.