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Finding the Fourth Proportional to 22,716, 34,068.32 and 7,922.72

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Solution

The fourth proportional to 22,716, 34,068.32 and 7,922.72 is: 11,882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,716 : 34,068.32 = 7,922.72 : x
  2. Step 2: Convert to fraction form
    22,716/34,068.32 = 7,922.72/x
  3. Step 3: Cross multiply
    22,716x = 34,068.32 × 7,922.72
  4. Step 4: Simplify right side
    22,716x = 269,913,760.23
  5. Step 5: Solve for x
    x = 269,913,760.23/22,716
  6. Step 6: Final answer
    x = 11,882.10

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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.