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Finding the Fourth Proportional to 16,909.40, 23,329.02 and 9,834.20

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Solution

The fourth proportional to 16,909.40, 23,329.02 and 9,834.20 is: 13,567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,909.40 : 23,329.02 = 9,834.20 : x
  2. Step 2: Convert to fraction form
    16,909.40/23,329.02 = 9,834.20/x
  3. Step 3: Cross multiply
    16,909.40x = 23,329.02 × 9,834.20
  4. Step 4: Simplify right side
    16,909.40x = 229,422,248.48
  5. Step 5: Solve for x
    x = 229,422,248.48/16,909.40
  6. Step 6: Final answer
    x = 13,567.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.