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Finding the Fourth Proportional to 12,842.49, 19,269.84 and 8,899.82

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Solution

The fourth proportional to 12,842.49, 19,269.84 and 8,899.82 is: 13,353.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.49 : 19,269.84 = 8,899.82 : x
  2. Step 2: Convert to fraction form
    12,842.49/19,269.84 = 8,899.82/x
  3. Step 3: Cross multiply
    12,842.49x = 19,269.84 × 8,899.82
  4. Step 4: Simplify right side
    12,842.49x = 171,498,011.08
  5. Step 5: Solve for x
    x = 171,498,011.08/12,842.49
  6. Step 6: Final answer
    x = 13,353.95

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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.