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Finding the Fourth Proportional to 12,423.80, 18,641.68 and 6,184.36

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Solution

The fourth proportional to 12,423.80, 18,641.68 and 6,184.36 is: 9,279.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,423.80 : 18,641.68 = 6,184.36 : x
  2. Step 2: Convert to fraction form
    12,423.80/18,641.68 = 6,184.36/x
  3. Step 3: Cross multiply
    12,423.80x = 18,641.68 × 6,184.36
  4. Step 4: Simplify right side
    12,423.80x = 115,286,860.12
  5. Step 5: Solve for x
    x = 115,286,860.12/12,423.80
  6. Step 6: Final answer
    x = 9,279.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.