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Finding the Fourth Proportional to 12,431.18, 17,155.08 and 6,842.18

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Solution

The fourth proportional to 12,431.18, 17,155.08 and 6,842.18 is: 9,442.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.18 : 17,155.08 = 6,842.18 : x
  2. Step 2: Convert to fraction form
    12,431.18/17,155.08 = 6,842.18/x
  3. Step 3: Cross multiply
    12,431.18x = 17,155.08 × 6,842.18
  4. Step 4: Simplify right side
    12,431.18x = 117,378,145.27
  5. Step 5: Solve for x
    x = 117,378,145.27/12,431.18
  6. Step 6: Final answer
    x = 9,442.24

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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.