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Finding the Fourth Proportional to 15,806.07, 23,709.11 and 6,443.96

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Solution

The fourth proportional to 15,806.07, 23,709.11 and 6,443.96 is: 9,665.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.07 : 23,709.11 = 6,443.96 : x
  2. Step 2: Convert to fraction form
    15,806.07/23,709.11 = 6,443.96/x
  3. Step 3: Cross multiply
    15,806.07x = 23,709.11 × 6,443.96
  4. Step 4: Simplify right side
    15,806.07x = 152,780,405.71
  5. Step 5: Solve for x
    x = 152,780,405.71/15,806.07
  6. Step 6: Final answer
    x = 9,665.93

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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.