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Finding the Fourth Proportional to 22,774.71, 31,429.14 and 12,703.80

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Solution

The fourth proportional to 22,774.71, 31,429.14 and 12,703.80 is: 17,531.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,774.71 : 31,429.14 = 12,703.80 : x
  2. Step 2: Convert to fraction form
    22,774.71/31,429.14 = 12,703.80/x
  3. Step 3: Cross multiply
    22,774.71x = 31,429.14 × 12,703.80
  4. Step 4: Simplify right side
    22,774.71x = 399,269,508.73
  5. Step 5: Solve for x
    x = 399,269,508.73/22,774.71
  6. Step 6: Final answer
    x = 17,531.27

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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.