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Finding the Fourth Proportional to 14,143.50, 19,521.54 and 8,178.63

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Solution

The fourth proportional to 14,143.50, 19,521.54 and 8,178.63 is: 11,288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143.50 : 19,521.54 = 8,178.63 : x
  2. Step 2: Convert to fraction form
    14,143.50/19,521.54 = 8,178.63/x
  3. Step 3: Cross multiply
    14,143.50x = 19,521.54 × 8,178.63
  4. Step 4: Simplify right side
    14,143.50x = 159,659,452.69
  5. Step 5: Solve for x
    x = 159,659,452.69/14,143.50
  6. Step 6: Final answer
    x = 11,288.54

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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.