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Finding the Fourth Proportional to 19,754.46, 29,616.21 and 9,888.78

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Solution

The fourth proportional to 19,754.46, 29,616.21 and 9,888.78 is: 14,825.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,754.46 : 29,616.21 = 9,888.78 : x
  2. Step 2: Convert to fraction form
    19,754.46/29,616.21 = 9,888.78/x
  3. Step 3: Cross multiply
    19,754.46x = 29,616.21 × 9,888.78
  4. Step 4: Simplify right side
    19,754.46x = 292,868,185.12
  5. Step 5: Solve for x
    x = 292,868,185.12/19,754.46
  6. Step 6: Final answer
    x = 14,825.42

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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.