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Finding the Fourth Proportional to 15,110.24, 20,853.54 and 9,143.38

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Solution

The fourth proportional to 15,110.24, 20,853.54 and 9,143.38 is: 12,618.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,110.24 : 20,853.54 = 9,143.38 : x
  2. Step 2: Convert to fraction form
    15,110.24/20,853.54 = 9,143.38/x
  3. Step 3: Cross multiply
    15,110.24x = 20,853.54 × 9,143.38
  4. Step 4: Simplify right side
    15,110.24x = 190,671,840.57
  5. Step 5: Solve for x
    x = 190,671,840.57/15,110.24
  6. Step 6: Final answer
    x = 12,618.72

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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.