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Finding the Fourth Proportional to 15,146.68, 22,723.07 and 5,283.32

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Solution

The fourth proportional to 15,146.68, 22,723.07 and 5,283.32 is: 7,926.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,146.68 : 22,723.07 = 5,283.32 : x
  2. Step 2: Convert to fraction form
    15,146.68/22,723.07 = 5,283.32/x
  3. Step 3: Cross multiply
    15,146.68x = 22,723.07 × 5,283.32
  4. Step 4: Simplify right side
    15,146.68x = 120,053,250.19
  5. Step 5: Solve for x
    x = 120,053,250.19/15,146.68
  6. Step 6: Final answer
    x = 7,926.04

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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.