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Finding the Fourth Proportional to 15,186.97, 20,946.70 and 11,152.53

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Solution

The fourth proportional to 15,186.97, 20,946.70 and 11,152.53 is: 15,382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,186.97 : 20,946.70 = 11,152.53 : x
  2. Step 2: Convert to fraction form
    15,186.97/20,946.70 = 11,152.53/x
  3. Step 3: Cross multiply
    15,186.97x = 20,946.70 × 11,152.53
  4. Step 4: Simplify right side
    15,186.97x = 233,608,672.27
  5. Step 5: Solve for x
    x = 233,608,672.27/15,186.97
  6. Step 6: Final answer
    x = 15,382.18

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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.