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Finding the Fourth Proportional to 27,829.70, 38,404.76 and 15,254.42

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Solution

The fourth proportional to 27,829.70, 38,404.76 and 15,254.42 is: 21,050.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,829.70 : 38,404.76 = 15,254.42 : x
  2. Step 2: Convert to fraction form
    27,829.70/38,404.76 = 15,254.42/x
  3. Step 3: Cross multiply
    27,829.70x = 38,404.76 × 15,254.42
  4. Step 4: Simplify right side
    27,829.70x = 585,842,339.04
  5. Step 5: Solve for x
    x = 585,842,339.04/27,829.70
  6. Step 6: Final answer
    x = 21,050.98

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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.