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Finding the Fourth Proportional to 15,228.68, 22,806.48 and 8,973.86

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Solution

The fourth proportional to 15,228.68, 22,806.48 and 8,973.86 is: 13,439.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,228.68 : 22,806.48 = 8,973.86 : x
  2. Step 2: Convert to fraction form
    15,228.68/22,806.48 = 8,973.86/x
  3. Step 3: Cross multiply
    15,228.68x = 22,806.48 × 8,973.86
  4. Step 4: Simplify right side
    15,228.68x = 204,662,158.61
  5. Step 5: Solve for x
    x = 204,662,158.61/15,228.68
  6. Step 6: Final answer
    x = 13,439.26

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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.