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Finding the Fourth Proportional to 14,546.88, 20,074.14 and 8,891.08

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Solution

The fourth proportional to 14,546.88, 20,074.14 and 8,891.08 is: 12,269.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,546.88 : 20,074.14 = 8,891.08 : x
  2. Step 2: Convert to fraction form
    14,546.88/20,074.14 = 8,891.08/x
  3. Step 3: Cross multiply
    14,546.88x = 20,074.14 × 8,891.08
  4. Step 4: Simplify right side
    14,546.88x = 178,480,784.67
  5. Step 5: Solve for x
    x = 178,480,784.67/14,546.88
  6. Step 6: Final answer
    x = 12,269.35

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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.