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Finding the Fourth Proportional to 22,807.64, 34,214.73 and 7,013.99

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Solution

The fourth proportional to 22,807.64, 34,214.73 and 7,013.99 is: 10,521.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,807.64 : 34,214.73 = 7,013.99 : x
  2. Step 2: Convert to fraction form
    22,807.64/34,214.73 = 7,013.99/x
  3. Step 3: Cross multiply
    22,807.64x = 34,214.73 × 7,013.99
  4. Step 4: Simplify right side
    22,807.64x = 239,981,833.31
  5. Step 5: Solve for x
    x = 239,981,833.31/22,807.64
  6. Step 6: Final answer
    x = 10,521.99

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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.