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Finding the Fourth Proportional to 22,702.42, 31,329.58 and 12,493.59

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Solution

The fourth proportional to 22,702.42, 31,329.58 and 12,493.59 is: 17,241.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,702.42 : 31,329.58 = 12,493.59 : x
  2. Step 2: Convert to fraction form
    22,702.42/31,329.58 = 12,493.59/x
  3. Step 3: Cross multiply
    22,702.42x = 31,329.58 × 12,493.59
  4. Step 4: Simplify right side
    22,702.42x = 391,418,927.39
  5. Step 5: Solve for x
    x = 391,418,927.39/22,702.42
  6. Step 6: Final answer
    x = 17,241.29

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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.