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Finding the Fourth Proportional to 24,097.29, 33,254.25 and 13,486.92

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Solution

The fourth proportional to 24,097.29, 33,254.25 and 13,486.92 is: 18,611.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,097.29 : 33,254.25 = 13,486.92 : x
  2. Step 2: Convert to fraction form
    24,097.29/33,254.25 = 13,486.92/x
  3. Step 3: Cross multiply
    24,097.29x = 33,254.25 × 13,486.92
  4. Step 4: Simplify right side
    24,097.29x = 448,497,409.41
  5. Step 5: Solve for x
    x = 448,497,409.41/24,097.29
  6. Step 6: Final answer
    x = 18,611.95

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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.