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Finding the Fourth Proportional to 23,051, 34,568.78 and 9,007.38

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Solution

The fourth proportional to 23,051, 34,568.78 and 9,007.38 is: 13,508.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,051 : 34,568.78 = 9,007.38 : x
  2. Step 2: Convert to fraction form
    23,051/34,568.78 = 9,007.38/x
  3. Step 3: Cross multiply
    23,051x = 34,568.78 × 9,007.38
  4. Step 4: Simplify right side
    23,051x = 311,374,137.60
  5. Step 5: Solve for x
    x = 311,374,137.60/23,051
  6. Step 6: Final answer
    x = 13,508.05

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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.