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Finding the Fourth Proportional to 24,762.71, 37,149.53 and 9,180.33

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Solution

The fourth proportional to 24,762.71, 37,149.53 and 9,180.33 is: 13,772.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,762.71 : 37,149.53 = 9,180.33 : x
  2. Step 2: Convert to fraction form
    24,762.71/37,149.53 = 9,180.33/x
  3. Step 3: Cross multiply
    24,762.71x = 37,149.53 × 9,180.33
  4. Step 4: Simplify right side
    24,762.71x = 341,044,898.84
  5. Step 5: Solve for x
    x = 341,044,898.84/24,762.71
  6. Step 6: Final answer
    x = 13,772.52

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1.5x scale

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.