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Finding the Fourth Proportional to 12,818.26, 17,689.62 and 7,440.28

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Solution

The fourth proportional to 12,818.26, 17,689.62 and 7,440.28 is: 10,267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,818.26 : 17,689.62 = 7,440.28 : x
  2. Step 2: Convert to fraction form
    12,818.26/17,689.62 = 7,440.28/x
  3. Step 3: Cross multiply
    12,818.26x = 17,689.62 × 7,440.28
  4. Step 4: Simplify right side
    12,818.26x = 131,615,725.89
  5. Step 5: Solve for x
    x = 131,615,725.89/12,818.26
  6. Step 6: Final answer
    x = 10,267.83

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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.