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Finding the Fourth Proportional to 24,470.11, 33,767.84 and 13,291.87

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Solution

The fourth proportional to 24,470.11, 33,767.84 and 13,291.87 is: 18,342.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,470.11 : 33,767.84 = 13,291.87 : x
  2. Step 2: Convert to fraction form
    24,470.11/33,767.84 = 13,291.87/x
  3. Step 3: Cross multiply
    24,470.11x = 33,767.84 × 13,291.87
  4. Step 4: Simplify right side
    24,470.11x = 448,837,603.85
  5. Step 5: Solve for x
    x = 448,837,603.85/24,470.11
  6. Step 6: Final answer
    x = 18,342.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.