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Finding the Fourth Proportional to 14,143.62, 19,521.71 and 8,178.75

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Solution

The fourth proportional to 14,143.62, 19,521.71 and 8,178.75 is: 11,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143.62 : 19,521.71 = 8,178.75 : x
  2. Step 2: Convert to fraction form
    14,143.62/19,521.71 = 8,178.75/x
  3. Step 3: Cross multiply
    14,143.62x = 19,521.71 × 8,178.75
  4. Step 4: Simplify right side
    14,143.62x = 159,663,175.44
  5. Step 5: Solve for x
    x = 159,663,175.44/14,143.62
  6. Step 6: Final answer
    x = 11,288.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.