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Finding the Fourth Proportional to 22,882.02, 34,315.74 and 7,296

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Solution

The fourth proportional to 22,882.02, 34,315.74 and 7,296 is: 10,941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,882.02 : 34,315.74 = 7,296 : x
  2. Step 2: Convert to fraction form
    22,882.02/34,315.74 = 7,296/x
  3. Step 3: Cross multiply
    22,882.02x = 34,315.74 × 7,296
  4. Step 4: Simplify right side
    22,882.02x = 250,367,639.04
  5. Step 5: Solve for x
    x = 250,367,639.04/22,882.02
  6. Step 6: Final answer
    x = 10,941.68

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Why These Related Problems?

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