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Finding the Fourth Proportional to 22,602.67, 31,192 and 12,394.66

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Solution

The fourth proportional to 22,602.67, 31,192 and 12,394.66 is: 17,104.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,602.67 : 31,192 = 12,394.66 : x
  2. Step 2: Convert to fraction form
    22,602.67/31,192 = 12,394.66/x
  3. Step 3: Cross multiply
    22,602.67x = 31,192 × 12,394.66
  4. Step 4: Simplify right side
    22,602.67x = 386,614,234.72
  5. Step 5: Solve for x
    x = 386,614,234.72/22,602.67
  6. Step 6: Final answer
    x = 17,104.80

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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.