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Finding the Fourth Proportional to 12,535, 17,298.30 and 6,947.08

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Solution

The fourth proportional to 12,535, 17,298.30 and 6,947.08 is: 9,586.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535 : 17,298.30 = 6,947.08 : x
  2. Step 2: Convert to fraction form
    12,535/17,298.30 = 6,947.08/x
  3. Step 3: Cross multiply
    12,535x = 17,298.30 × 6,947.08
  4. Step 4: Simplify right side
    12,535x = 120,172,673.96
  5. Step 5: Solve for x
    x = 120,172,673.96/12,535
  6. Step 6: Final answer
    x = 9,586.97

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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.