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Finding the Fourth Proportional to 21,456.09, 29,603.85 and 12,951.49

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Solution

The fourth proportional to 21,456.09, 29,603.85 and 12,951.49 is: 17,869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,456.09 : 29,603.85 = 12,951.49 : x
  2. Step 2: Convert to fraction form
    21,456.09/29,603.85 = 12,951.49/x
  3. Step 3: Cross multiply
    21,456.09x = 29,603.85 × 12,951.49
  4. Step 4: Simplify right side
    21,456.09x = 383,413,902.48
  5. Step 5: Solve for x
    x = 383,413,902.48/21,456.09
  6. Step 6: Final answer
    x = 17,869.70

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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.