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Finding the Fourth Proportional to 16,034.64, 24,051.99 and 6,178.56

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Solution

The fourth proportional to 16,034.64, 24,051.99 and 6,178.56 is: 9,267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,034.64 : 24,051.99 = 6,178.56 : x
  2. Step 2: Convert to fraction form
    16,034.64/24,051.99 = 6,178.56/x
  3. Step 3: Cross multiply
    16,034.64x = 24,051.99 × 6,178.56
  4. Step 4: Simplify right side
    16,034.64x = 148,606,663.33
  5. Step 5: Solve for x
    x = 148,606,663.33/16,034.64
  6. Step 6: Final answer
    x = 9,267.85

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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.