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Finding the Fourth Proportional to 16,067.70, 24,098.40 and 4,378.14

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Solution

The fourth proportional to 16,067.70, 24,098.40 and 4,378.14 is: 6,566.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,067.70 : 24,098.40 = 4,378.14 : x
  2. Step 2: Convert to fraction form
    16,067.70/24,098.40 = 4,378.14/x
  3. Step 3: Cross multiply
    16,067.70x = 24,098.40 × 4,378.14
  4. Step 4: Simplify right side
    16,067.70x = 105,506,168.98
  5. Step 5: Solve for x
    x = 105,506,168.98/16,067.70
  6. Step 6: Final answer
    x = 6,566.35

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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.