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Finding the Fourth Proportional to 24,503.49, 33,812.91 and 13,894.83

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Solution

The fourth proportional to 24,503.49, 33,812.91 and 13,894.83 is: 19,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,503.49 : 33,812.91 = 13,894.83 : x
  2. Step 2: Convert to fraction form
    24,503.49/33,812.91 = 13,894.83/x
  3. Step 3: Cross multiply
    24,503.49x = 33,812.91 × 13,894.83
  4. Step 4: Simplify right side
    24,503.49x = 469,824,636.26
  5. Step 5: Solve for x
    x = 469,824,636.26/24,503.49
  6. Step 6: Final answer
    x = 19,173.78

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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.