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Finding the Fourth Proportional to 21,553.49, 32,319.30 and 9,856.69

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Solution

The fourth proportional to 21,553.49, 32,319.30 and 9,856.69 is: 14,780.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,553.49 : 32,319.30 = 9,856.69 : x
  2. Step 2: Convert to fraction form
    21,553.49/32,319.30 = 9,856.69/x
  3. Step 3: Cross multiply
    21,553.49x = 32,319.30 × 9,856.69
  4. Step 4: Simplify right side
    21,553.49x = 318,561,277.28
  5. Step 5: Solve for x
    x = 318,561,277.28/21,553.49
  6. Step 6: Final answer
    x = 14,780.03

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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.