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Finding the Fourth Proportional to 22,764.49, 31,412.69 and 12,691.99

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Solution

The fourth proportional to 22,764.49, 31,412.69 and 12,691.99 is: 17,513.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,764.49 : 31,412.69 = 12,691.99 : x
  2. Step 2: Convert to fraction form
    22,764.49/31,412.69 = 12,691.99/x
  3. Step 3: Cross multiply
    22,764.49x = 31,412.69 × 12,691.99
  4. Step 4: Simplify right side
    22,764.49x = 398,689,642.15
  5. Step 5: Solve for x
    x = 398,689,642.15/22,764.49
  6. Step 6: Final answer
    x = 17,513.66

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