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Finding the Fourth Proportional to 42,171.84, 63,257.76 and 11,007.12

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Solution

The fourth proportional to 42,171.84, 63,257.76 and 11,007.12 is: 16,510.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,171.84 : 63,257.76 = 11,007.12 : x
  2. Step 2: Convert to fraction form
    42,171.84/63,257.76 = 11,007.12/x
  3. Step 3: Cross multiply
    42,171.84x = 63,257.76 × 11,007.12
  4. Step 4: Simplify right side
    42,171.84x = 696,285,755.25
  5. Step 5: Solve for x
    x = 696,285,755.25/42,171.84
  6. Step 6: Final answer
    x = 16,510.68

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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.