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Finding the Fourth Proportional to 15,680.52, 21,637.67 and 9,306

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Solution

The fourth proportional to 15,680.52, 21,637.67 and 9,306 is: 12,841.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,680.52 : 21,637.67 = 9,306 : x
  2. Step 2: Convert to fraction form
    15,680.52/21,637.67 = 9,306/x
  3. Step 3: Cross multiply
    15,680.52x = 21,637.67 × 9,306
  4. Step 4: Simplify right side
    15,680.52x = 201,360,110.49
  5. Step 5: Solve for x
    x = 201,360,110.49/15,680.52
  6. Step 6: Final answer
    x = 12,841.42

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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.