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Finding the Fourth Proportional to 15,142.44, 20,895.12 and 11,165.70

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Solution

The fourth proportional to 15,142.44, 20,895.12 and 11,165.70 is: 15,407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.44 : 20,895.12 = 11,165.70 : x
  2. Step 2: Convert to fraction form
    15,142.44/20,895.12 = 11,165.70/x
  3. Step 3: Cross multiply
    15,142.44x = 20,895.12 × 11,165.70
  4. Step 4: Simplify right side
    15,142.44x = 233,308,641.38
  5. Step 5: Solve for x
    x = 233,308,641.38/15,142.44
  6. Step 6: Final answer
    x = 15,407.60

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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.