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Finding the Fourth Proportional to 12,254.18, 16,911 and 6,948.90

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Solution

The fourth proportional to 12,254.18, 16,911 and 6,948.90 is: 9,589.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254.18 : 16,911 = 6,948.90 : x
  2. Step 2: Convert to fraction form
    12,254.18/16,911 = 6,948.90/x
  3. Step 3: Cross multiply
    12,254.18x = 16,911 × 6,948.90
  4. Step 4: Simplify right side
    12,254.18x = 117,512,847.90
  5. Step 5: Solve for x
    x = 117,512,847.90/12,254.18
  6. Step 6: Final answer
    x = 9,589.62

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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.