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Finding the Fourth Proportional to 12,143.42, 16,715.07 and 8,780.78

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Solution

The fourth proportional to 12,143.42, 16,715.07 and 8,780.78 is: 12,086.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.42 : 16,715.07 = 8,780.78 : x
  2. Step 2: Convert to fraction form
    12,143.42/16,715.07 = 8,780.78/x
  3. Step 3: Cross multiply
    12,143.42x = 16,715.07 × 8,780.78
  4. Step 4: Simplify right side
    12,143.42x = 146,771,352.35
  5. Step 5: Solve for x
    x = 146,771,352.35/12,143.42
  6. Step 6: Final answer
    x = 12,086.49

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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.