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Finding the Fourth Proportional to 14,800.78, 20,311.37 and 13,966.06

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Solution

The fourth proportional to 14,800.78, 20,311.37 and 13,966.06 is: 19,165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,800.78 : 20,311.37 = 13,966.06 : x
  2. Step 2: Convert to fraction form
    14,800.78/20,311.37 = 13,966.06/x
  3. Step 3: Cross multiply
    14,800.78x = 20,311.37 × 13,966.06
  4. Step 4: Simplify right side
    14,800.78x = 283,669,812.10
  5. Step 5: Solve for x
    x = 283,669,812.10/14,800.78
  6. Step 6: Final answer
    x = 19,165.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.