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Finding the Fourth Proportional to 17,497.82, 24,146.85 and 9,539.90

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Solution

The fourth proportional to 17,497.82, 24,146.85 and 9,539.90 is: 13,164.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,497.82 : 24,146.85 = 9,539.90 : x
  2. Step 2: Convert to fraction form
    17,497.82/24,146.85 = 9,539.90/x
  3. Step 3: Cross multiply
    17,497.82x = 24,146.85 × 9,539.90
  4. Step 4: Simplify right side
    17,497.82x = 230,358,534.32
  5. Step 5: Solve for x
    x = 230,358,534.32/17,497.82
  6. Step 6: Final answer
    x = 13,164.98

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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.