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Finding the Fourth Proportional to 18,113.14, 27,177.50 and 9,799

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Solution

The fourth proportional to 18,113.14, 27,177.50 and 9,799 is: 14,702.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,113.14 : 27,177.50 = 9,799 : x
  2. Step 2: Convert to fraction form
    18,113.14/27,177.50 = 9,799/x
  3. Step 3: Cross multiply
    18,113.14x = 27,177.50 × 9,799
  4. Step 4: Simplify right side
    18,113.14x = 266,312,322.50
  5. Step 5: Solve for x
    x = 266,312,322.50/18,113.14
  6. Step 6: Final answer
    x = 14,702.71

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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.