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Finding the Fourth Proportional to 27,701.74, 38,228.46 and 15,126.46

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Solution

The fourth proportional to 27,701.74, 38,228.46 and 15,126.46 is: 20,874.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,701.74 : 38,228.46 = 15,126.46 : x
  2. Step 2: Convert to fraction form
    27,701.74/38,228.46 = 15,126.46/x
  3. Step 3: Cross multiply
    27,701.74x = 38,228.46 × 15,126.46
  4. Step 4: Simplify right side
    27,701.74x = 578,261,271.05
  5. Step 5: Solve for x
    x = 578,261,271.05/27,701.74
  6. Step 6: Final answer
    x = 20,874.55

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Why These Related Problems?

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