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Finding the Fourth Proportional to 14,882.30, 22,324.80 and 6,115.40

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Solution

The fourth proportional to 14,882.30, 22,324.80 and 6,115.40 is: 9,173.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.30 : 22,324.80 = 6,115.40 : x
  2. Step 2: Convert to fraction form
    14,882.30/22,324.80 = 6,115.40/x
  3. Step 3: Cross multiply
    14,882.30x = 22,324.80 × 6,115.40
  4. Step 4: Simplify right side
    14,882.30x = 136,525,081.92
  5. Step 5: Solve for x
    x = 136,525,081.92/14,882.30
  6. Step 6: Final answer
    x = 9,173.65

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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.