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Finding the Fourth Proportional to 27,830.92, 38,404.92 and 15,255.76

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Solution

The fourth proportional to 27,830.92, 38,404.92 and 15,255.76 is: 21,051.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,830.92 : 38,404.92 = 15,255.76 : x
  2. Step 2: Convert to fraction form
    27,830.92/38,404.92 = 15,255.76/x
  3. Step 3: Cross multiply
    27,830.92x = 38,404.92 × 15,255.76
  4. Step 4: Simplify right side
    27,830.92x = 585,896,242.34
  5. Step 5: Solve for x
    x = 585,896,242.34/27,830.92
  6. Step 6: Final answer
    x = 21,051.99

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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.