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Finding the Fourth Proportional to 22,684.16, 34,026.24 and 7,103

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Solution

The fourth proportional to 22,684.16, 34,026.24 and 7,103 is: 10,654.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684.16 : 34,026.24 = 7,103 : x
  2. Step 2: Convert to fraction form
    22,684.16/34,026.24 = 7,103/x
  3. Step 3: Cross multiply
    22,684.16x = 34,026.24 × 7,103
  4. Step 4: Simplify right side
    22,684.16x = 241,688,382.72
  5. Step 5: Solve for x
    x = 241,688,382.72/22,684.16
  6. Step 6: Final answer
    x = 10,654.50

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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.