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Finding the Fourth Proportional to 16,586.80, 22,888.14 and 9,512.20

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Solution

The fourth proportional to 16,586.80, 22,888.14 and 9,512.20 is: 13,125.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.80 : 22,888.14 = 9,512.20 : x
  2. Step 2: Convert to fraction form
    16,586.80/22,888.14 = 9,512.20/x
  3. Step 3: Cross multiply
    16,586.80x = 22,888.14 × 9,512.20
  4. Step 4: Simplify right side
    16,586.80x = 217,716,565.31
  5. Step 5: Solve for x
    x = 217,716,565.31/16,586.80
  6. Step 6: Final answer
    x = 13,125.89

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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.