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Finding the Fourth Proportional to 16,530.20, 22,811.65 and 9,078.20

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Solution

The fourth proportional to 16,530.20, 22,811.65 and 9,078.20 is: 12,527.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,530.20 : 22,811.65 = 9,078.20 : x
  2. Step 2: Convert to fraction form
    16,530.20/22,811.65 = 9,078.20/x
  3. Step 3: Cross multiply
    16,530.20x = 22,811.65 × 9,078.20
  4. Step 4: Simplify right side
    16,530.20x = 207,088,721.03
  5. Step 5: Solve for x
    x = 207,088,721.03/16,530.20
  6. Step 6: Final answer
    x = 12,527.90

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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.