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Finding the Fourth Proportional to 11,255.90, 16,946.18 and 9,947.16

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Solution

The fourth proportional to 11,255.90, 16,946.18 and 9,947.16 is: 14,975.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,255.90 : 16,946.18 = 9,947.16 : x
  2. Step 2: Convert to fraction form
    11,255.90/16,946.18 = 9,947.16/x
  3. Step 3: Cross multiply
    11,255.90x = 16,946.18 × 9,947.16
  4. Step 4: Simplify right side
    11,255.90x = 168,566,363.85
  5. Step 5: Solve for x
    x = 168,566,363.85/11,255.90
  6. Step 6: Final answer
    x = 14,975.82

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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.