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Finding the Fourth Proportional to 27,594.76, 38,080 and 15,019.24

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Solution

The fourth proportional to 27,594.76, 38,080 and 15,019.24 is: 20,726.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,594.76 : 38,080 = 15,019.24 : x
  2. Step 2: Convert to fraction form
    27,594.76/38,080 = 15,019.24/x
  3. Step 3: Cross multiply
    27,594.76x = 38,080 × 15,019.24
  4. Step 4: Simplify right side
    27,594.76x = 571,932,659.20
  5. Step 5: Solve for x
    x = 571,932,659.20/27,594.76
  6. Step 6: Final answer
    x = 20,726.13

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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.