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Finding the Fourth Proportional to 13,203.77, 19,805.70 and 5,309.87

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Solution

The fourth proportional to 13,203.77, 19,805.70 and 5,309.87 is: 7,964.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203.77 : 19,805.70 = 5,309.87 : x
  2. Step 2: Convert to fraction form
    13,203.77/19,805.70 = 5,309.87/x
  3. Step 3: Cross multiply
    13,203.77x = 19,805.70 × 5,309.87
  4. Step 4: Simplify right side
    13,203.77x = 105,165,692.26
  5. Step 5: Solve for x
    x = 105,165,692.26/13,203.77
  6. Step 6: Final answer
    x = 7,964.82

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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.