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Finding the Fourth Proportional to 10,169.10, 15,314.58 and 8,949.84

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Solution

The fourth proportional to 10,169.10, 15,314.58 and 8,949.84 is: 13,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,169.10 : 15,314.58 = 8,949.84 : x
  2. Step 2: Convert to fraction form
    10,169.10/15,314.58 = 8,949.84/x
  3. Step 3: Cross multiply
    10,169.10x = 15,314.58 × 8,949.84
  4. Step 4: Simplify right side
    10,169.10x = 137,063,040.67
  5. Step 5: Solve for x
    x = 137,063,040.67/10,169.10
  6. Step 6: Final answer
    x = 13,478.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.