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Finding the Fourth Proportional to 18,140.01, 27,211.77 and 6,291.93

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Solution

The fourth proportional to 18,140.01, 27,211.77 and 6,291.93 is: 9,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,140.01 : 27,211.77 = 6,291.93 : x
  2. Step 2: Convert to fraction form
    18,140.01/27,211.77 = 6,291.93/x
  3. Step 3: Cross multiply
    18,140.01x = 27,211.77 × 6,291.93
  4. Step 4: Simplify right side
    18,140.01x = 171,214,552.02
  5. Step 5: Solve for x
    x = 171,214,552.02/18,140.01
  6. Step 6: Final answer
    x = 9,438.50

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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.