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Finding the Fourth Proportional to 15,531.86, 23,291.98 and 6,169.07

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Solution

The fourth proportional to 15,531.86, 23,291.98 and 6,169.07 is: 9,251.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,531.86 : 23,291.98 = 6,169.07 : x
  2. Step 2: Convert to fraction form
    15,531.86/23,291.98 = 6,169.07/x
  3. Step 3: Cross multiply
    15,531.86x = 23,291.98 × 6,169.07
  4. Step 4: Simplify right side
    15,531.86x = 143,689,855.06
  5. Step 5: Solve for x
    x = 143,689,855.06/15,531.86
  6. Step 6: Final answer
    x = 9,251.30

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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.