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Finding the Fourth Proportional to 27,422.80, 41,128.97 and 13,368.69

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Solution

The fourth proportional to 27,422.80, 41,128.97 and 13,368.69 is: 20,050.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,422.80 : 41,128.97 = 13,368.69 : x
  2. Step 2: Convert to fraction form
    27,422.80/41,128.97 = 13,368.69/x
  3. Step 3: Cross multiply
    27,422.80x = 41,128.97 × 13,368.69
  4. Step 4: Simplify right side
    27,422.80x = 549,840,383.11
  5. Step 5: Solve for x
    x = 549,840,383.11/27,422.80
  6. Step 6: Final answer
    x = 20,050.48

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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.