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Finding the Fourth Proportional to 22,830.60, 34,162.62 and 13,475.10

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Solution

The fourth proportional to 22,830.60, 34,162.62 and 13,475.10 is: 20,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,830.60 : 34,162.62 = 13,475.10 : x
  2. Step 2: Convert to fraction form
    22,830.60/34,162.62 = 13,475.10/x
  3. Step 3: Cross multiply
    22,830.60x = 34,162.62 × 13,475.10
  4. Step 4: Simplify right side
    22,830.60x = 460,344,720.76
  5. Step 5: Solve for x
    x = 460,344,720.76/22,830.60
  6. Step 6: Final answer
    x = 20,163.50

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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.