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Finding the Fourth Proportional to 24,507.29, 33,816.56 and 13,894.88

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Solution

The fourth proportional to 24,507.29, 33,816.56 and 13,894.88 is: 19,172.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,507.29 : 33,816.56 = 13,894.88 : x
  2. Step 2: Convert to fraction form
    24,507.29/33,816.56 = 13,894.88/x
  3. Step 3: Cross multiply
    24,507.29x = 33,816.56 × 13,894.88
  4. Step 4: Simplify right side
    24,507.29x = 469,876,804.66
  5. Step 5: Solve for x
    x = 469,876,804.66/24,507.29
  6. Step 6: Final answer
    x = 19,172.94

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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.