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Finding the Fourth Proportional to 30,297.84, 41,810.52 and 17,724.72

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Solution

The fourth proportional to 30,297.84, 41,810.52 and 17,724.72 is: 24,459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,297.84 : 41,810.52 = 17,724.72 : x
  2. Step 2: Convert to fraction form
    30,297.84/41,810.52 = 17,724.72/x
  3. Step 3: Cross multiply
    30,297.84x = 41,810.52 × 17,724.72
  4. Step 4: Simplify right side
    30,297.84x = 741,079,760.05
  5. Step 5: Solve for x
    x = 741,079,760.05/30,297.84
  6. Step 6: Final answer
    x = 24,459.82

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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.