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Finding the Fourth Proportional to 15,113.90, 20,853.96 and 9,144.38

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Solution

The fourth proportional to 15,113.90, 20,853.96 and 9,144.38 is: 12,617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,113.90 : 20,853.96 = 9,144.38 : x
  2. Step 2: Convert to fraction form
    15,113.90/20,853.96 = 9,144.38/x
  3. Step 3: Cross multiply
    15,113.90x = 20,853.96 × 9,144.38
  4. Step 4: Simplify right side
    15,113.90x = 190,696,534.74
  5. Step 5: Solve for x
    x = 190,696,534.74/15,113.90
  6. Step 6: Final answer
    x = 12,617.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.