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Finding the Fourth Proportional to 15,244.64, 22,867.04 and 5,382.80

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Solution

The fourth proportional to 15,244.64, 22,867.04 and 5,382.80 is: 8,074.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,244.64 : 22,867.04 = 5,382.80 : x
  2. Step 2: Convert to fraction form
    15,244.64/22,867.04 = 5,382.80/x
  3. Step 3: Cross multiply
    15,244.64x = 22,867.04 × 5,382.80
  4. Step 4: Simplify right side
    15,244.64x = 123,088,702.91
  5. Step 5: Solve for x
    x = 123,088,702.91/15,244.64
  6. Step 6: Final answer
    x = 8,074.23

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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.