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Finding the Fourth Proportional to 10,673.34, 15,932.97 and 10,194.06

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Solution

The fourth proportional to 10,673.34, 15,932.97 and 10,194.06 is: 15,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.34 : 15,932.97 = 10,194.06 : x
  2. Step 2: Convert to fraction form
    10,673.34/15,932.97 = 10,194.06/x
  3. Step 3: Cross multiply
    10,673.34x = 15,932.97 × 10,194.06
  4. Step 4: Simplify right side
    10,673.34x = 162,421,652.16
  5. Step 5: Solve for x
    x = 162,421,652.16/10,673.34
  6. Step 6: Final answer
    x = 15,217.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.