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Finding the Fourth Proportional to 12,884.67, 19,320.49 and 4,563.51

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Solution

The fourth proportional to 12,884.67, 19,320.49 and 4,563.51 is: 6,842.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.67 : 19,320.49 = 4,563.51 : x
  2. Step 2: Convert to fraction form
    12,884.67/19,320.49 = 4,563.51/x
  3. Step 3: Cross multiply
    12,884.67x = 19,320.49 × 4,563.51
  4. Step 4: Simplify right side
    12,884.67x = 88,169,182.57
  5. Step 5: Solve for x
    x = 88,169,182.57/12,884.67
  6. Step 6: Final answer
    x = 6,842.95

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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.