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Finding the Fourth Proportional to 16,043.80, 24,048.69 and 6,178.81

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Solution

The fourth proportional to 16,043.80, 24,048.69 and 6,178.81 is: 9,261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,043.80 : 24,048.69 = 6,178.81 : x
  2. Step 2: Convert to fraction form
    16,043.80/24,048.69 = 6,178.81/x
  3. Step 3: Cross multiply
    16,043.80x = 24,048.69 × 6,178.81
  4. Step 4: Simplify right side
    16,043.80x = 148,592,286.26
  5. Step 5: Solve for x
    x = 148,592,286.26/16,043.80
  6. Step 6: Final answer
    x = 9,261.66

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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.