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Finding the Fourth Proportional to 18,641, 27,965.34 and 7,697

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Solution

The fourth proportional to 18,641, 27,965.34 and 7,697 is: 11,547.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,641 : 27,965.34 = 7,697 : x
  2. Step 2: Convert to fraction form
    18,641/27,965.34 = 7,697/x
  3. Step 3: Cross multiply
    18,641x = 27,965.34 × 7,697
  4. Step 4: Simplify right side
    18,641x = 215,249,221.98
  5. Step 5: Solve for x
    x = 215,249,221.98/18,641
  6. Step 6: Final answer
    x = 11,547.09

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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.