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Finding the Fourth Proportional to 22,762.58, 31,412.52 and 12,691.68

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Solution

The fourth proportional to 22,762.58, 31,412.52 and 12,691.68 is: 17,514.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762.58 : 31,412.52 = 12,691.68 : x
  2. Step 2: Convert to fraction form
    22,762.58/31,412.52 = 12,691.68/x
  3. Step 3: Cross multiply
    22,762.58x = 31,412.52 × 12,691.68
  4. Step 4: Simplify right side
    22,762.58x = 398,677,651.83
  5. Step 5: Solve for x
    x = 398,677,651.83/22,762.58
  6. Step 6: Final answer
    x = 17,514.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.