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Finding the Fourth Proportional to 16,922.68, 23,353.14 and 9,470.68

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Solution

The fourth proportional to 16,922.68, 23,353.14 and 9,470.68 is: 13,069.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,922.68 : 23,353.14 = 9,470.68 : x
  2. Step 2: Convert to fraction form
    16,922.68/23,353.14 = 9,470.68/x
  3. Step 3: Cross multiply
    16,922.68x = 23,353.14 × 9,470.68
  4. Step 4: Simplify right side
    16,922.68x = 221,170,115.94
  5. Step 5: Solve for x
    x = 221,170,115.94/16,922.68
  6. Step 6: Final answer
    x = 13,069.45

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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.