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Finding the Fourth Proportional to 12,475.38, 17,215.41 and 7,097.40

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Solution

The fourth proportional to 12,475.38, 17,215.41 and 7,097.40 is: 9,794.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,475.38 : 17,215.41 = 7,097.40 : x
  2. Step 2: Convert to fraction form
    12,475.38/17,215.41 = 7,097.40/x
  3. Step 3: Cross multiply
    12,475.38x = 17,215.41 × 7,097.40
  4. Step 4: Simplify right side
    12,475.38x = 122,184,650.93
  5. Step 5: Solve for x
    x = 122,184,650.93/12,475.38
  6. Step 6: Final answer
    x = 9,794.06

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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.