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Finding the Fourth Proportional to 21,468.44, 32,197.80 and 9,785

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Solution

The fourth proportional to 21,468.44, 32,197.80 and 9,785 is: 14,675.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,468.44 : 32,197.80 = 9,785 : x
  2. Step 2: Convert to fraction form
    21,468.44/32,197.80 = 9,785/x
  3. Step 3: Cross multiply
    21,468.44x = 32,197.80 × 9,785
  4. Step 4: Simplify right side
    21,468.44x = 315,055,473
  5. Step 5: Solve for x
    x = 315,055,473/21,468.44
  6. Step 6: Final answer
    x = 14,675.28

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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.