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Finding the Fourth Proportional to 13,730.67, 18,946.58 and 8,948.43

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Solution

The fourth proportional to 13,730.67, 18,946.58 and 8,948.43 is: 12,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.67 : 18,946.58 = 8,948.43 : x
  2. Step 2: Convert to fraction form
    13,730.67/18,946.58 = 8,948.43/x
  3. Step 3: Cross multiply
    13,730.67x = 18,946.58 × 8,948.43
  4. Step 4: Simplify right side
    13,730.67x = 169,542,100.13
  5. Step 5: Solve for x
    x = 169,542,100.13/13,730.67
  6. Step 6: Final answer
    x = 12,347.69

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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.