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Finding the Fourth Proportional to 18,573.30, 27,862.65 and 6,091.20

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Solution

The fourth proportional to 18,573.30, 27,862.65 and 6,091.20 is: 9,137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,573.30 : 27,862.65 = 6,091.20 : x
  2. Step 2: Convert to fraction form
    18,573.30/27,862.65 = 6,091.20/x
  3. Step 3: Cross multiply
    18,573.30x = 27,862.65 × 6,091.20
  4. Step 4: Simplify right side
    18,573.30x = 169,716,973.68
  5. Step 5: Solve for x
    x = 169,716,973.68/18,573.30
  6. Step 6: Final answer
    x = 9,137.69

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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.