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Finding the Fourth Proportional to 27,988.86, 41,971.41 and 11,352.54

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Solution

The fourth proportional to 27,988.86, 41,971.41 and 11,352.54 is: 17,023.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,988.86 : 41,971.41 = 11,352.54 : x
  2. Step 2: Convert to fraction form
    27,988.86/41,971.41 = 11,352.54/x
  3. Step 3: Cross multiply
    27,988.86x = 41,971.41 × 11,352.54
  4. Step 4: Simplify right side
    27,988.86x = 476,482,110.88
  5. Step 5: Solve for x
    x = 476,482,110.88/27,988.86
  6. Step 6: Final answer
    x = 17,023.99

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1.5x scale

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.