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Finding the Fourth Proportional to 15,891.82, 21,931.74 and 8,818.24

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Solution

The fourth proportional to 15,891.82, 21,931.74 and 8,818.24 is: 12,169.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.82 : 21,931.74 = 8,818.24 : x
  2. Step 2: Convert to fraction form
    15,891.82/21,931.74 = 8,818.24/x
  3. Step 3: Cross multiply
    15,891.82x = 21,931.74 × 8,818.24
  4. Step 4: Simplify right side
    15,891.82x = 193,399,370.11
  5. Step 5: Solve for x
    x = 193,399,370.11/15,891.82
  6. Step 6: Final answer
    x = 12,169.74

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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.