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Finding the Fourth Proportional to 13,952.27, 20,931.82 and 6,548.11

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Solution

The fourth proportional to 13,952.27, 20,931.82 and 6,548.11 is: 9,823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.27 : 20,931.82 = 6,548.11 : x
  2. Step 2: Convert to fraction form
    13,952.27/20,931.82 = 6,548.11/x
  3. Step 3: Cross multiply
    13,952.27x = 20,931.82 × 6,548.11
  4. Step 4: Simplify right side
    13,952.27x = 137,063,791.16
  5. Step 5: Solve for x
    x = 137,063,791.16/13,952.27
  6. Step 6: Final answer
    x = 9,823.76

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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.