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Finding the Fourth Proportional to 13,807.80, 20,693.16 and 5,034.42

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Solution

The fourth proportional to 13,807.80, 20,693.16 and 5,034.42 is: 7,544.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.80 : 20,693.16 = 5,034.42 : x
  2. Step 2: Convert to fraction form
    13,807.80/20,693.16 = 5,034.42/x
  3. Step 3: Cross multiply
    13,807.80x = 20,693.16 × 5,034.42
  4. Step 4: Simplify right side
    13,807.80x = 104,178,058.57
  5. Step 5: Solve for x
    x = 104,178,058.57/13,807.80
  6. Step 6: Final answer
    x = 7,544.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.