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Finding the Fourth Proportional to 16,277.25, 24,415.88 and 3,965.25

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Solution

The fourth proportional to 16,277.25, 24,415.88 and 3,965.25 is: 5,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.25 : 24,415.88 = 3,965.25 : x
  2. Step 2: Convert to fraction form
    16,277.25/24,415.88 = 3,965.25/x
  3. Step 3: Cross multiply
    16,277.25x = 24,415.88 × 3,965.25
  4. Step 4: Simplify right side
    16,277.25x = 96,815,068.17
  5. Step 5: Solve for x
    x = 96,815,068.17/16,277.25
  6. Step 6: Final answer
    x = 5,947.88

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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.