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Finding the Fourth Proportional to 13,047.77, 19,578.95 and 5,257.19

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Solution

The fourth proportional to 13,047.77, 19,578.95 and 5,257.19 is: 7,888.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.77 : 19,578.95 = 5,257.19 : x
  2. Step 2: Convert to fraction form
    13,047.77/19,578.95 = 5,257.19/x
  3. Step 3: Cross multiply
    13,047.77x = 19,578.95 × 5,257.19
  4. Step 4: Simplify right side
    13,047.77x = 102,930,135.97
  5. Step 5: Solve for x
    x = 102,930,135.97/13,047.77
  6. Step 6: Final answer
    x = 7,888.72

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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.