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Finding the Fourth Proportional to 12,685, 17,505.30 and 7,097.08

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Solution

The fourth proportional to 12,685, 17,505.30 and 7,097.08 is: 9,793.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,685 : 17,505.30 = 7,097.08 : x
  2. Step 2: Convert to fraction form
    12,685/17,505.30 = 7,097.08/x
  3. Step 3: Cross multiply
    12,685x = 17,505.30 × 7,097.08
  4. Step 4: Simplify right side
    12,685x = 124,236,514.52
  5. Step 5: Solve for x
    x = 124,236,514.52/12,685
  6. Step 6: Final answer
    x = 9,793.97

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