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Finding the Fourth Proportional to 12,818, 17,689.14 and 7,229

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Solution

The fourth proportional to 12,818, 17,689.14 and 7,229 is: 9,976.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,818 : 17,689.14 = 7,229 : x
  2. Step 2: Convert to fraction form
    12,818/17,689.14 = 7,229/x
  3. Step 3: Cross multiply
    12,818x = 17,689.14 × 7,229
  4. Step 4: Simplify right side
    12,818x = 127,874,793.06
  5. Step 5: Solve for x
    x = 127,874,793.06/12,818
  6. Step 6: Final answer
    x = 9,976.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.