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Finding the Fourth Proportional to 27,722.40, 38,257.80 and 15,147.16

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Solution

The fourth proportional to 27,722.40, 38,257.80 and 15,147.16 is: 20,903.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,722.40 : 38,257.80 = 15,147.16 : x
  2. Step 2: Convert to fraction form
    27,722.40/38,257.80 = 15,147.16/x
  3. Step 3: Cross multiply
    27,722.40x = 38,257.80 × 15,147.16
  4. Step 4: Simplify right side
    27,722.40x = 579,497,017.85
  5. Step 5: Solve for x
    x = 579,497,017.85/27,722.40
  6. Step 6: Final answer
    x = 20,903.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.