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Finding the Fourth Proportional to 21,648.98, 32,472.24 and 5,853.78

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Solution

The fourth proportional to 21,648.98, 32,472.24 and 5,853.78 is: 8,780.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,648.98 : 32,472.24 = 5,853.78 : x
  2. Step 2: Convert to fraction form
    21,648.98/32,472.24 = 5,853.78/x
  3. Step 3: Cross multiply
    21,648.98x = 32,472.24 × 5,853.78
  4. Step 4: Simplify right side
    21,648.98x = 190,085,349.07
  5. Step 5: Solve for x
    x = 190,085,349.07/21,648.98
  6. Step 6: Final answer
    x = 8,780.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.