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Finding the Fourth Proportional to 16,526.50, 22,800.08 and 9,449.12

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Solution

The fourth proportional to 16,526.50, 22,800.08 and 9,449.12 is: 13,036.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,526.50 : 22,800.08 = 9,449.12 : x
  2. Step 2: Convert to fraction form
    16,526.50/22,800.08 = 9,449.12/x
  3. Step 3: Cross multiply
    16,526.50x = 22,800.08 × 9,449.12
  4. Step 4: Simplify right side
    16,526.50x = 215,440,691.93
  5. Step 5: Solve for x
    x = 215,440,691.93/16,526.50
  6. Step 6: Final answer
    x = 13,036.07

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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.