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Finding the Fourth Proportional to 25,722.60, 38,587 and 9,079.22

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Solution

The fourth proportional to 25,722.60, 38,587 and 9,079.22 is: 13,619.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,722.60 : 38,587 = 9,079.22 : x
  2. Step 2: Convert to fraction form
    25,722.60/38,587 = 9,079.22/x
  3. Step 3: Cross multiply
    25,722.60x = 38,587 × 9,079.22
  4. Step 4: Simplify right side
    25,722.60x = 350,339,862.14
  5. Step 5: Solve for x
    x = 350,339,862.14/25,722.60
  6. Step 6: Final answer
    x = 13,619.92

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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.