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Finding the Fourth Proportional to 22,903.70, 34,345.02 and 8,113.10

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Solution

The fourth proportional to 22,903.70, 34,345.02 and 8,113.10 is: 12,165.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,903.70 : 34,345.02 = 8,113.10 : x
  2. Step 2: Convert to fraction form
    22,903.70/34,345.02 = 8,113.10/x
  3. Step 3: Cross multiply
    22,903.70x = 34,345.02 × 8,113.10
  4. Step 4: Simplify right side
    22,903.70x = 278,644,581.76
  5. Step 5: Solve for x
    x = 278,644,581.76/22,903.70
  6. Step 6: Final answer
    x = 12,165.92

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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.