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Finding the Fourth Proportional to 14,921.54, 20,591.29 and 8,207.16

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Solution

The fourth proportional to 14,921.54, 20,591.29 and 8,207.16 is: 11,325.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,921.54 : 20,591.29 = 8,207.16 : x
  2. Step 2: Convert to fraction form
    14,921.54/20,591.29 = 8,207.16/x
  3. Step 3: Cross multiply
    14,921.54x = 20,591.29 × 8,207.16
  4. Step 4: Simplify right side
    14,921.54x = 168,996,011.64
  5. Step 5: Solve for x
    x = 168,996,011.64/14,921.54
  6. Step 6: Final answer
    x = 11,325.64

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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.