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Finding the Fourth Proportional to 16,291.64, 22,482.44 and 9,217.88

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Solution

The fourth proportional to 16,291.64, 22,482.44 and 9,217.88 is: 12,720.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,291.64 : 22,482.44 = 9,217.88 : x
  2. Step 2: Convert to fraction form
    16,291.64/22,482.44 = 9,217.88/x
  3. Step 3: Cross multiply
    16,291.64x = 22,482.44 × 9,217.88
  4. Step 4: Simplify right side
    16,291.64x = 207,240,434.03
  5. Step 5: Solve for x
    x = 207,240,434.03/16,291.64
  6. Step 6: Final answer
    x = 12,720.66

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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.