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Finding the Fourth Proportional to 24,409.17, 33,684.71 and 13,231.17

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Solution

The fourth proportional to 24,409.17, 33,684.71 and 13,231.17 is: 18,259.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,409.17 : 33,684.71 = 13,231.17 : x
  2. Step 2: Convert to fraction form
    24,409.17/33,684.71 = 13,231.17/x
  3. Step 3: Cross multiply
    24,409.17x = 33,684.71 × 13,231.17
  4. Step 4: Simplify right side
    24,409.17x = 445,688,058.25
  5. Step 5: Solve for x
    x = 445,688,058.25/24,409.17
  6. Step 6: Final answer
    x = 18,259.04

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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.