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Finding the Fourth Proportional to 21,391.12, 29,524.80 and 13,006

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Solution

The fourth proportional to 21,391.12, 29,524.80 and 13,006 is: 17,951.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,391.12 : 29,524.80 = 13,006 : x
  2. Step 2: Convert to fraction form
    21,391.12/29,524.80 = 13,006/x
  3. Step 3: Cross multiply
    21,391.12x = 29,524.80 × 13,006
  4. Step 4: Simplify right side
    21,391.12x = 383,999,548.80
  5. Step 5: Solve for x
    x = 383,999,548.80/21,391.12
  6. Step 6: Final answer
    x = 17,951.35

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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.