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Finding the Fourth Proportional to 17,141.18, 25,713.82 and 6,045.60

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Solution

The fourth proportional to 17,141.18, 25,713.82 and 6,045.60 is: 9,069.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,141.18 : 25,713.82 = 6,045.60 : x
  2. Step 2: Convert to fraction form
    17,141.18/25,713.82 = 6,045.60/x
  3. Step 3: Cross multiply
    17,141.18x = 25,713.82 × 6,045.60
  4. Step 4: Simplify right side
    17,141.18x = 155,455,470.19
  5. Step 5: Solve for x
    x = 155,455,470.19/17,141.18
  6. Step 6: Final answer
    x = 9,069.12

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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.