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Finding the Fourth Proportional to 13,988.42, 20,975.41 and 4,126.42

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Solution

The fourth proportional to 13,988.42, 20,975.41 and 4,126.42 is: 6,187.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,988.42 : 20,975.41 = 4,126.42 : x
  2. Step 2: Convert to fraction form
    13,988.42/20,975.41 = 4,126.42/x
  3. Step 3: Cross multiply
    13,988.42x = 20,975.41 × 4,126.42
  4. Step 4: Simplify right side
    13,988.42x = 86,553,246.46
  5. Step 5: Solve for x
    x = 86,553,246.46/13,988.42
  6. Step 6: Final answer
    x = 6,187.49

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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.