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Finding the Fourth Proportional to 14,882.24, 22,322.74 and 6,116.92

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Solution

The fourth proportional to 14,882.24, 22,322.74 and 6,116.92 is: 9,175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.24 : 22,322.74 = 6,116.92 : x
  2. Step 2: Convert to fraction form
    14,882.24/22,322.74 = 6,116.92/x
  3. Step 3: Cross multiply
    14,882.24x = 22,322.74 × 6,116.92
  4. Step 4: Simplify right side
    14,882.24x = 136,546,414.76
  5. Step 5: Solve for x
    x = 136,546,414.76/14,882.24
  6. Step 6: Final answer
    x = 9,175.13

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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.