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Finding the Fourth Proportional to 14,253.64, 19,669.86 and 7,965.96

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Solution

The fourth proportional to 14,253.64, 19,669.86 and 7,965.96 is: 10,992.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,253.64 : 19,669.86 = 7,965.96 : x
  2. Step 2: Convert to fraction form
    14,253.64/19,669.86 = 7,965.96/x
  3. Step 3: Cross multiply
    14,253.64x = 19,669.86 × 7,965.96
  4. Step 4: Simplify right side
    14,253.64x = 156,689,317.97
  5. Step 5: Solve for x
    x = 156,689,317.97/14,253.64
  6. Step 6: Final answer
    x = 10,992.93

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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.