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Finding the Fourth Proportional to 19,708.68, 29,542.06 and 9,825.87

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Solution

The fourth proportional to 19,708.68, 29,542.06 and 9,825.87 is: 14,728.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,708.68 : 29,542.06 = 9,825.87 : x
  2. Step 2: Convert to fraction form
    19,708.68/29,542.06 = 9,825.87/x
  3. Step 3: Cross multiply
    19,708.68x = 29,542.06 × 9,825.87
  4. Step 4: Simplify right side
    19,708.68x = 290,276,441.09
  5. Step 5: Solve for x
    x = 290,276,441.09/19,708.68
  6. Step 6: Final answer
    x = 14,728.36

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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.