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Finding the Fourth Proportional to 16,054.48, 24,067.14 and 7,284.61

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Solution

The fourth proportional to 16,054.48, 24,067.14 and 7,284.61 is: 10,920.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,054.48 : 24,067.14 = 7,284.61 : x
  2. Step 2: Convert to fraction form
    16,054.48/24,067.14 = 7,284.61/x
  3. Step 3: Cross multiply
    16,054.48x = 24,067.14 × 7,284.61
  4. Step 4: Simplify right side
    16,054.48x = 175,319,728.72
  5. Step 5: Solve for x
    x = 175,319,728.72/16,054.48
  6. Step 6: Final answer
    x = 10,920.30

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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.