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Finding the Fourth Proportional to 24,424.88, 33,708.02 and 13,814.55

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Solution

The fourth proportional to 24,424.88, 33,708.02 and 13,814.55 is: 19,065.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,424.88 : 33,708.02 = 13,814.55 : x
  2. Step 2: Convert to fraction form
    24,424.88/33,708.02 = 13,814.55/x
  3. Step 3: Cross multiply
    24,424.88x = 33,708.02 × 13,814.55
  4. Step 4: Simplify right side
    24,424.88x = 465,661,058.62
  5. Step 5: Solve for x
    x = 465,661,058.62/24,424.88
  6. Step 6: Final answer
    x = 19,065.03

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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.