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Finding the Fourth Proportional to 27,594, 38,084.04 and 16,422.48

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Solution

The fourth proportional to 27,594, 38,084.04 and 16,422.48 is: 22,665.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,594 : 38,084.04 = 16,422.48 : x
  2. Step 2: Convert to fraction form
    27,594/38,084.04 = 16,422.48/x
  3. Step 3: Cross multiply
    27,594x = 38,084.04 × 16,422.48
  4. Step 4: Simplify right side
    27,594x = 625,434,385.22
  5. Step 5: Solve for x
    x = 625,434,385.22/27,594
  6. Step 6: Final answer
    x = 22,665.59

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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.