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Finding the Fourth Proportional to 24,178.74, 36,268.06 and 13,643.98

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Solution

The fourth proportional to 24,178.74, 36,268.06 and 13,643.98 is: 20,465.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,178.74 : 36,268.06 = 13,643.98 : x
  2. Step 2: Convert to fraction form
    24,178.74/36,268.06 = 13,643.98/x
  3. Step 3: Cross multiply
    24,178.74x = 36,268.06 × 13,643.98
  4. Step 4: Simplify right side
    24,178.74x = 494,840,685.28
  5. Step 5: Solve for x
    x = 494,840,685.28/24,178.74
  6. Step 6: Final answer
    x = 20,465.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.