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Finding the Fourth Proportional to 24,277.78, 33,503.97 and 13,667.80

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Solution

The fourth proportional to 24,277.78, 33,503.97 and 13,667.80 is: 18,861.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,277.78 : 33,503.97 = 13,667.80 : x
  2. Step 2: Convert to fraction form
    24,277.78/33,503.97 = 13,667.80/x
  3. Step 3: Cross multiply
    24,277.78x = 33,503.97 × 13,667.80
  4. Step 4: Simplify right side
    24,277.78x = 457,925,561.17
  5. Step 5: Solve for x
    x = 457,925,561.17/24,277.78
  6. Step 6: Final answer
    x = 18,861.92

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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.