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Finding the Fourth Proportional to 22,605.76, 31,195.11 and 12,534.38

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Solution

The fourth proportional to 22,605.76, 31,195.11 and 12,534.38 is: 17,296.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,605.76 : 31,195.11 = 12,534.38 : x
  2. Step 2: Convert to fraction form
    22,605.76/31,195.11 = 12,534.38/x
  3. Step 3: Cross multiply
    22,605.76x = 31,195.11 × 12,534.38
  4. Step 4: Simplify right side
    22,605.76x = 391,011,362.88
  5. Step 5: Solve for x
    x = 391,011,362.88/22,605.76
  6. Step 6: Final answer
    x = 17,296.98

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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.