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Finding the Fourth Proportional to 17,442.28, 24,069.82 and 9,889.30

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Solution

The fourth proportional to 17,442.28, 24,069.82 and 9,889.30 is: 13,646.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,442.28 : 24,069.82 = 9,889.30 : x
  2. Step 2: Convert to fraction form
    17,442.28/24,069.82 = 9,889.30/x
  3. Step 3: Cross multiply
    17,442.28x = 24,069.82 × 9,889.30
  4. Step 4: Simplify right side
    17,442.28x = 238,033,670.93
  5. Step 5: Solve for x
    x = 238,033,670.93/17,442.28
  6. Step 6: Final answer
    x = 13,646.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.