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Finding the Fourth Proportional to 24,194.67, 33,390.28 and 13,440.77

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Solution

The fourth proportional to 24,194.67, 33,390.28 and 13,440.77 is: 18,549.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,194.67 : 33,390.28 = 13,440.77 : x
  2. Step 2: Convert to fraction form
    24,194.67/33,390.28 = 13,440.77/x
  3. Step 3: Cross multiply
    24,194.67x = 33,390.28 × 13,440.77
  4. Step 4: Simplify right side
    24,194.67x = 448,791,073.72
  5. Step 5: Solve for x
    x = 448,791,073.72/24,194.67
  6. Step 6: Final answer
    x = 18,549.17

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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.