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Finding the Fourth Proportional to 15,999.44, 24,002.94 and 6,138.50

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Solution

The fourth proportional to 15,999.44, 24,002.94 and 6,138.50 is: 9,209.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,999.44 : 24,002.94 = 6,138.50 : x
  2. Step 2: Convert to fraction form
    15,999.44/24,002.94 = 6,138.50/x
  3. Step 3: Cross multiply
    15,999.44x = 24,002.94 × 6,138.50
  4. Step 4: Simplify right side
    15,999.44x = 147,342,047.19
  5. Step 5: Solve for x
    x = 147,342,047.19/15,999.44
  6. Step 6: Final answer
    x = 9,209.20

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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.