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Finding the Fourth Proportional to 22,686.16, 34,029.24 and 7,105

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Solution

The fourth proportional to 22,686.16, 34,029.24 and 7,105 is: 10,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,686.16 : 34,029.24 = 7,105 : x
  2. Step 2: Convert to fraction form
    22,686.16/34,029.24 = 7,105/x
  3. Step 3: Cross multiply
    22,686.16x = 34,029.24 × 7,105
  4. Step 4: Simplify right side
    22,686.16x = 241,777,750.20
  5. Step 5: Solve for x
    x = 241,777,750.20/22,686.16
  6. Step 6: Final answer
    x = 10,657.50

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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.