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Finding the Fourth Proportional to 13,182.29, 18,191.58 and 7,214

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Solution

The fourth proportional to 13,182.29, 18,191.58 and 7,214 is: 9,955.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182.29 : 18,191.58 = 7,214 : x
  2. Step 2: Convert to fraction form
    13,182.29/18,191.58 = 7,214/x
  3. Step 3: Cross multiply
    13,182.29x = 18,191.58 × 7,214
  4. Step 4: Simplify right side
    13,182.29x = 131,234,058.12
  5. Step 5: Solve for x
    x = 131,234,058.12/13,182.29
  6. Step 6: Final answer
    x = 9,955.33

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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.