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Finding the Fourth Proportional to 14,655.16, 20,221.14 and 8,684.20

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Solution

The fourth proportional to 14,655.16, 20,221.14 and 8,684.20 is: 11,982.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,655.16 : 20,221.14 = 8,684.20 : x
  2. Step 2: Convert to fraction form
    14,655.16/20,221.14 = 8,684.20/x
  3. Step 3: Cross multiply
    14,655.16x = 20,221.14 × 8,684.20
  4. Step 4: Simplify right side
    14,655.16x = 175,604,423.99
  5. Step 5: Solve for x
    x = 175,604,423.99/14,655.16
  6. Step 6: Final answer
    x = 11,982.43

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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.