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Finding the Fourth Proportional to 18,038.50, 27,068.82 and 7,650.25

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Solution

The fourth proportional to 18,038.50, 27,068.82 and 7,650.25 is: 11,480.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,038.50 : 27,068.82 = 7,650.25 : x
  2. Step 2: Convert to fraction form
    18,038.50/27,068.82 = 7,650.25/x
  3. Step 3: Cross multiply
    18,038.50x = 27,068.82 × 7,650.25
  4. Step 4: Simplify right side
    18,038.50x = 207,083,240.21
  5. Step 5: Solve for x
    x = 207,083,240.21/18,038.50
  6. Step 6: Final answer
    x = 11,480.07

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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.