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Finding the Fourth Proportional to 27,720, 38,253.84 and 15,144.76

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Solution

The fourth proportional to 27,720, 38,253.84 and 15,144.76 is: 20,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,720 : 38,253.84 = 15,144.76 : x
  2. Step 2: Convert to fraction form
    27,720/38,253.84 = 15,144.76/x
  3. Step 3: Cross multiply
    27,720x = 38,253.84 × 15,144.76
  4. Step 4: Simplify right side
    27,720x = 579,345,225.88
  5. Step 5: Solve for x
    x = 579,345,225.88/27,720
  6. Step 6: Final answer
    x = 20,899.90

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1.5x scale

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.