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Finding the Fourth Proportional to 16,040.64, 24,060.99 and 6,184.56

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Solution

The fourth proportional to 16,040.64, 24,060.99 and 6,184.56 is: 9,276.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,040.64 : 24,060.99 = 6,184.56 : x
  2. Step 2: Convert to fraction form
    16,040.64/24,060.99 = 6,184.56/x
  3. Step 3: Cross multiply
    16,040.64x = 24,060.99 × 6,184.56
  4. Step 4: Simplify right side
    16,040.64x = 148,806,636.31
  5. Step 5: Solve for x
    x = 148,806,636.31/16,040.64
  6. Step 6: Final answer
    x = 9,276.85

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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.