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Finding the Fourth Proportional to 27,594, 38,079.86 and 15,018.75

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Solution

The fourth proportional to 27,594, 38,079.86 and 15,018.75 is: 20,725.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,594 : 38,079.86 = 15,018.75 : x
  2. Step 2: Convert to fraction form
    27,594/38,079.86 = 15,018.75/x
  3. Step 3: Cross multiply
    27,594x = 38,079.86 × 15,018.75
  4. Step 4: Simplify right side
    27,594x = 571,911,822.28
  5. Step 5: Solve for x
    x = 571,911,822.28/27,594
  6. Step 6: Final answer
    x = 20,725.95

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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.