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Finding the Fourth Proportional to 16,782, 23,159.18 and 9,228.46

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Solution

The fourth proportional to 16,782, 23,159.18 and 9,228.46 is: 12,735.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782 : 23,159.18 = 9,228.46 : x
  2. Step 2: Convert to fraction form
    16,782/23,159.18 = 9,228.46/x
  3. Step 3: Cross multiply
    16,782x = 23,159.18 × 9,228.46
  4. Step 4: Simplify right side
    16,782x = 213,723,566.26
  5. Step 5: Solve for x
    x = 213,723,566.26/16,782
  6. Step 6: Final answer
    x = 12,735.29

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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.