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Finding the Fourth Proportional to 15,894.66, 21,931.38 and 8,819.58

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Solution

The fourth proportional to 15,894.66, 21,931.38 and 8,819.58 is: 12,169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.66 : 21,931.38 = 8,819.58 : x
  2. Step 2: Convert to fraction form
    15,894.66/21,931.38 = 8,819.58/x
  3. Step 3: Cross multiply
    15,894.66x = 21,931.38 × 8,819.58
  4. Step 4: Simplify right side
    15,894.66x = 193,425,560.42
  5. Step 5: Solve for x
    x = 193,425,560.42/15,894.66
  6. Step 6: Final answer
    x = 12,169.22

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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.