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Finding the Fourth Proportional to 16,095.50, 24,144.06 and 5,708.06

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Solution

The fourth proportional to 16,095.50, 24,144.06 and 5,708.06 is: 8,562.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,095.50 : 24,144.06 = 5,708.06 : x
  2. Step 2: Convert to fraction form
    16,095.50/24,144.06 = 5,708.06/x
  3. Step 3: Cross multiply
    16,095.50x = 24,144.06 × 5,708.06
  4. Step 4: Simplify right side
    16,095.50x = 137,815,743.12
  5. Step 5: Solve for x
    x = 137,815,743.12/16,095.50
  6. Step 6: Final answer
    x = 8,562.38

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Why These Related Problems?

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