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Finding the Fourth Proportional to 12,818.86, 17,689.35 and 7,229.50

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Solution

The fourth proportional to 12,818.86, 17,689.35 and 7,229.50 is: 9,976.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,818.86 : 17,689.35 = 7,229.50 : x
  2. Step 2: Convert to fraction form
    12,818.86/17,689.35 = 7,229.50/x
  3. Step 3: Cross multiply
    12,818.86x = 17,689.35 × 7,229.50
  4. Step 4: Simplify right side
    12,818.86x = 127,885,155.83
  5. Step 5: Solve for x
    x = 127,885,155.83/12,818.86
  6. Step 6: Final answer
    x = 9,976.33

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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.