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Finding the Fourth Proportional to 14,251.98, 19,669.59 and 7,965.66

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Solution

The fourth proportional to 14,251.98, 19,669.59 and 7,965.66 is: 10,993.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,251.98 : 19,669.59 = 7,965.66 : x
  2. Step 2: Convert to fraction form
    14,251.98/19,669.59 = 7,965.66/x
  3. Step 3: Cross multiply
    14,251.98x = 19,669.59 × 7,965.66
  4. Step 4: Simplify right side
    14,251.98x = 156,681,266.28
  5. Step 5: Solve for x
    x = 156,681,266.28/14,251.98
  6. Step 6: Final answer
    x = 10,993.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.