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Finding the Fourth Proportional to 15,144.40, 22,726.05 and 5,785.26

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Solution

The fourth proportional to 15,144.40, 22,726.05 and 5,785.26 is: 8,681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,144.40 : 22,726.05 = 5,785.26 : x
  2. Step 2: Convert to fraction form
    15,144.40/22,726.05 = 5,785.26/x
  3. Step 3: Cross multiply
    15,144.40x = 22,726.05 × 5,785.26
  4. Step 4: Simplify right side
    15,144.40x = 131,476,108.02
  5. Step 5: Solve for x
    x = 131,476,108.02/15,144.40
  6. Step 6: Final answer
    x = 8,681.50

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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.