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Finding the Fourth Proportional to 16,083.57, 24,152.76 and 10,470.80

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Solution

The fourth proportional to 16,083.57, 24,152.76 and 10,470.80 is: 15,724.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083.57 : 24,152.76 = 10,470.80 : x
  2. Step 2: Convert to fraction form
    16,083.57/24,152.76 = 10,470.80/x
  3. Step 3: Cross multiply
    16,083.57x = 24,152.76 × 10,470.80
  4. Step 4: Simplify right side
    16,083.57x = 252,898,689.22
  5. Step 5: Solve for x
    x = 252,898,689.22/16,083.57
  6. Step 6: Final answer
    x = 15,724.04

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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.