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Finding the Fourth Proportional to 16,095, 24,143.31 and 5,707.56

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Solution

The fourth proportional to 16,095, 24,143.31 and 5,707.56 is: 8,561.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,095 : 24,143.31 = 5,707.56 : x
  2. Step 2: Convert to fraction form
    16,095/24,143.31 = 5,707.56/x
  3. Step 3: Cross multiply
    16,095x = 24,143.31 × 5,707.56
  4. Step 4: Simplify right side
    16,095x = 137,799,390.42
  5. Step 5: Solve for x
    x = 137,799,390.42/16,095
  6. Step 6: Final answer
    x = 8,561.63

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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.