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Finding the Fourth Proportional to 24,356.13, 33,611.46 and 13,178.13

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Solution

The fourth proportional to 24,356.13, 33,611.46 and 13,178.13 is: 18,185.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,356.13 : 33,611.46 = 13,178.13 : x
  2. Step 2: Convert to fraction form
    24,356.13/33,611.46 = 13,178.13/x
  3. Step 3: Cross multiply
    24,356.13x = 33,611.46 × 13,178.13
  4. Step 4: Simplify right side
    24,356.13x = 442,935,955.42
  5. Step 5: Solve for x
    x = 442,935,955.42/24,356.13
  6. Step 6: Final answer
    x = 18,185.81

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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.