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Finding the Fourth Proportional to 12,901.78, 17,803.83 and 8,416.81

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Solution

The fourth proportional to 12,901.78, 17,803.83 and 8,416.81 is: 11,614.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.78 : 17,803.83 = 8,416.81 : x
  2. Step 2: Convert to fraction form
    12,901.78/17,803.83 = 8,416.81/x
  3. Step 3: Cross multiply
    12,901.78x = 17,803.83 × 8,416.81
  4. Step 4: Simplify right side
    12,901.78x = 149,851,454.38
  5. Step 5: Solve for x
    x = 149,851,454.38/12,901.78
  6. Step 6: Final answer
    x = 11,614.79

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Why These Related Problems?

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