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Finding the Fourth Proportional to 16,062, 24,077.00 and 7,739.66

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Solution

The fourth proportional to 16,062, 24,077.00 and 7,739.66 is: 11,601.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,062 : 24,077.00 = 7,739.66 : x
  2. Step 2: Convert to fraction form
    16,062/24,077.00 = 7,739.66/x
  3. Step 3: Cross multiply
    16,062x = 24,077.00 × 7,739.66
  4. Step 4: Simplify right side
    16,062x = 186,347,692.78
  5. Step 5: Solve for x
    x = 186,347,692.78/16,062
  6. Step 6: Final answer
    x = 11,601.77

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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.