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Finding the Fourth Proportional to 22,785.66, 31,444.47 and 12,849.66

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Solution

The fourth proportional to 22,785.66, 31,444.47 and 12,849.66 is: 17,732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,785.66 : 31,444.47 = 12,849.66 : x
  2. Step 2: Convert to fraction form
    22,785.66/31,444.47 = 12,849.66/x
  3. Step 3: Cross multiply
    22,785.66x = 31,444.47 × 12,849.66
  4. Step 4: Simplify right side
    22,785.66x = 404,050,748.38
  5. Step 5: Solve for x
    x = 404,050,748.38/22,785.66
  6. Step 6: Final answer
    x = 17,732.68

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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.