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Finding the Fourth Proportional to 16,034.32, 24,055.90 and 6,678.72

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Solution

The fourth proportional to 16,034.32, 24,055.90 and 6,678.72 is: 10,019.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,034.32 : 24,055.90 = 6,678.72 : x
  2. Step 2: Convert to fraction form
    16,034.32/24,055.90 = 6,678.72/x
  3. Step 3: Cross multiply
    16,034.32x = 24,055.90 × 6,678.72
  4. Step 4: Simplify right side
    16,034.32x = 160,662,620.45
  5. Step 5: Solve for x
    x = 160,662,620.45/16,034.32
  6. Step 6: Final answer
    x = 10,019.92

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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.