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Finding the Fourth Proportional to 15,806.14, 23,689.77 and 8,010.70

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Solution

The fourth proportional to 15,806.14, 23,689.77 and 8,010.70 is: 12,006.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.14 : 23,689.77 = 8,010.70 : x
  2. Step 2: Convert to fraction form
    15,806.14/23,689.77 = 8,010.70/x
  3. Step 3: Cross multiply
    15,806.14x = 23,689.77 × 8,010.70
  4. Step 4: Simplify right side
    15,806.14x = 189,771,640.54
  5. Step 5: Solve for x
    x = 189,771,640.54/15,806.14
  6. Step 6: Final answer
    x = 12,006.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.