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Finding the Fourth Proportional to 15,884.28, 23,825.14 and 6,521.64

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Solution

The fourth proportional to 15,884.28, 23,825.14 and 6,521.64 is: 9,781.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884.28 : 23,825.14 = 6,521.64 : x
  2. Step 2: Convert to fraction form
    15,884.28/23,825.14 = 6,521.64/x
  3. Step 3: Cross multiply
    15,884.28x = 23,825.14 × 6,521.64
  4. Step 4: Simplify right side
    15,884.28x = 155,378,986.03
  5. Step 5: Solve for x
    x = 155,378,986.03/15,884.28
  6. Step 6: Final answer
    x = 9,781.93

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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.