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Finding the Fourth Proportional to 12,338.68, 17,027.68 and 7,034

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Solution

The fourth proportional to 12,338.68, 17,027.68 and 7,034 is: 9,707.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338.68 : 17,027.68 = 7,034 : x
  2. Step 2: Convert to fraction form
    12,338.68/17,027.68 = 7,034/x
  3. Step 3: Cross multiply
    12,338.68x = 17,027.68 × 7,034
  4. Step 4: Simplify right side
    12,338.68x = 119,772,701.12
  5. Step 5: Solve for x
    x = 119,772,701.12/12,338.68
  6. Step 6: Final answer
    x = 9,707.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.