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Finding the Fourth Proportional to 42,262.84, 63,397.86 and 11,098

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Solution

The fourth proportional to 42,262.84, 63,397.86 and 11,098 is: 16,647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,262.84 : 63,397.86 = 11,098 : x
  2. Step 2: Convert to fraction form
    42,262.84/63,397.86 = 11,098/x
  3. Step 3: Cross multiply
    42,262.84x = 63,397.86 × 11,098
  4. Step 4: Simplify right side
    42,262.84x = 703,589,450.28
  5. Step 5: Solve for x
    x = 703,589,450.28/42,262.84
  6. Step 6: Final answer
    x = 16,647.95

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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.