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Finding the Fourth Proportional to 15,853.75, 21,878.67 and 9,139.66

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Solution

The fourth proportional to 15,853.75, 21,878.67 and 9,139.66 is: 12,613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,853.75 : 21,878.67 = 9,139.66 : x
  2. Step 2: Convert to fraction form
    15,853.75/21,878.67 = 9,139.66/x
  3. Step 3: Cross multiply
    15,853.75x = 21,878.67 × 9,139.66
  4. Step 4: Simplify right side
    15,853.75x = 199,963,605.05
  5. Step 5: Solve for x
    x = 199,963,605.05/15,853.75
  6. Step 6: Final answer
    x = 12,613.02

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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.