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Finding the Fourth Proportional to 22,802.40, 34,200.18 and 7,218

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Solution

The fourth proportional to 22,802.40, 34,200.18 and 7,218 is: 10,825.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,802.40 : 34,200.18 = 7,218 : x
  2. Step 2: Convert to fraction form
    22,802.40/34,200.18 = 7,218/x
  3. Step 3: Cross multiply
    22,802.40x = 34,200.18 × 7,218
  4. Step 4: Simplify right side
    22,802.40x = 246,856,899.24
  5. Step 5: Solve for x
    x = 246,856,899.24/22,802.40
  6. Step 6: Final answer
    x = 10,825.92

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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.