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Finding the Fourth Proportional to 15,151, 22,696.80 and 7,733.56

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Solution

The fourth proportional to 15,151, 22,696.80 and 7,733.56 is: 11,585.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,151 : 22,696.80 = 7,733.56 : x
  2. Step 2: Convert to fraction form
    15,151/22,696.80 = 7,733.56/x
  3. Step 3: Cross multiply
    15,151x = 22,696.80 × 7,733.56
  4. Step 4: Simplify right side
    15,151x = 175,527,064.61
  5. Step 5: Solve for x
    x = 175,527,064.61/15,151
  6. Step 6: Final answer
    x = 11,585.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.