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Finding the Fourth Proportional to 15,078.66, 22,619.74 and 5,725.68

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Solution

The fourth proportional to 15,078.66, 22,619.74 and 5,725.68 is: 8,589.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,078.66 : 22,619.74 = 5,725.68 : x
  2. Step 2: Convert to fraction form
    15,078.66/22,619.74 = 5,725.68/x
  3. Step 3: Cross multiply
    15,078.66x = 22,619.74 × 5,725.68
  4. Step 4: Simplify right side
    15,078.66x = 129,513,392.92
  5. Step 5: Solve for x
    x = 129,513,392.92/15,078.66
  6. Step 6: Final answer
    x = 8,589.18

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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.