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Finding the Fourth Proportional to 24,513.86, 33,836.08 and 14,448.14

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Solution

The fourth proportional to 24,513.86, 33,836.08 and 14,448.14 is: 19,942.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,513.86 : 33,836.08 = 14,448.14 : x
  2. Step 2: Convert to fraction form
    24,513.86/33,836.08 = 14,448.14/x
  3. Step 3: Cross multiply
    24,513.86x = 33,836.08 × 14,448.14
  4. Step 4: Simplify right side
    24,513.86x = 488,868,420.89
  5. Step 5: Solve for x
    x = 488,868,420.89/24,513.86
  6. Step 6: Final answer
    x = 19,942.53

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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.