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Finding the Fourth Proportional to 27,894.32, 38,483.02 and 17,820.15

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Solution

The fourth proportional to 27,894.32, 38,483.02 and 17,820.15 is: 24,584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,894.32 : 38,483.02 = 17,820.15 : x
  2. Step 2: Convert to fraction form
    27,894.32/38,483.02 = 17,820.15/x
  3. Step 3: Cross multiply
    27,894.32x = 38,483.02 × 17,820.15
  4. Step 4: Simplify right side
    27,894.32x = 685,773,188.85
  5. Step 5: Solve for x
    x = 685,773,188.85/27,894.32
  6. Step 6: Final answer
    x = 24,584.69

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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.