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Finding the Fourth Proportional to 24,905.12, 34,368.84 and 13,727.12

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Solution

The fourth proportional to 24,905.12, 34,368.84 and 13,727.12 is: 18,943.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,905.12 : 34,368.84 = 13,727.12 : x
  2. Step 2: Convert to fraction form
    24,905.12/34,368.84 = 13,727.12/x
  3. Step 3: Cross multiply
    24,905.12x = 34,368.84 × 13,727.12
  4. Step 4: Simplify right side
    24,905.12x = 471,785,190.94
  5. Step 5: Solve for x
    x = 471,785,190.94/24,905.12
  6. Step 6: Final answer
    x = 18,943.30

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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.