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Finding the Fourth Proportional to 12,818.35, 17,689.29 and 7,152.75

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Solution

The fourth proportional to 12,818.35, 17,689.29 and 7,152.75 is: 9,870.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,818.35 : 17,689.29 = 7,152.75 : x
  2. Step 2: Convert to fraction form
    12,818.35/17,689.29 = 7,152.75/x
  3. Step 3: Cross multiply
    12,818.35x = 17,689.29 × 7,152.75
  4. Step 4: Simplify right side
    12,818.35x = 126,527,069.05
  5. Step 5: Solve for x
    x = 126,527,069.05/12,818.35
  6. Step 6: Final answer
    x = 9,870.78

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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.