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Finding the Fourth Proportional to 18,538.54, 27,788.36 and 8,669.50

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Solution

The fourth proportional to 18,538.54, 27,788.36 and 8,669.50 is: 12,995.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,538.54 : 27,788.36 = 8,669.50 : x
  2. Step 2: Convert to fraction form
    18,538.54/27,788.36 = 8,669.50/x
  3. Step 3: Cross multiply
    18,538.54x = 27,788.36 × 8,669.50
  4. Step 4: Simplify right side
    18,538.54x = 240,911,187.02
  5. Step 5: Solve for x
    x = 240,911,187.02/18,538.54
  6. Step 6: Final answer
    x = 12,995.15

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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.