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Finding the Fourth Proportional to 22,902, 34,357.90 and 7,106.69

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Solution

The fourth proportional to 22,902, 34,357.90 and 7,106.69 is: 10,661.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902 : 34,357.90 = 7,106.69 : x
  2. Step 2: Convert to fraction form
    22,902/34,357.90 = 7,106.69/x
  3. Step 3: Cross multiply
    22,902x = 34,357.90 × 7,106.69
  4. Step 4: Simplify right side
    22,902x = 244,170,944.35
  5. Step 5: Solve for x
    x = 244,170,944.35/22,902
  6. Step 6: Final answer
    x = 10,661.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.