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Finding the Fourth Proportional to 13,182.47, 18,191.49 and 7,214.18

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Solution

The fourth proportional to 13,182.47, 18,191.49 and 7,214.18 is: 9,955.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182.47 : 18,191.49 = 7,214.18 : x
  2. Step 2: Convert to fraction form
    13,182.47/18,191.49 = 7,214.18/x
  3. Step 3: Cross multiply
    13,182.47x = 18,191.49 × 7,214.18
  4. Step 4: Simplify right side
    13,182.47x = 131,236,683.33
  5. Step 5: Solve for x
    x = 131,236,683.33/13,182.47
  6. Step 6: Final answer
    x = 9,955.39

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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.