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Finding the Fourth Proportional to 24,506.25, 33,817.93 and 13,895.83

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Solution

The fourth proportional to 24,506.25, 33,817.93 and 13,895.83 is: 19,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,506.25 : 33,817.93 = 13,895.83 : x
  2. Step 2: Convert to fraction form
    24,506.25/33,817.93 = 13,895.83/x
  3. Step 3: Cross multiply
    24,506.25x = 33,817.93 × 13,895.83
  4. Step 4: Simplify right side
    24,506.25x = 469,928,206.23
  5. Step 5: Solve for x
    x = 469,928,206.23/24,506.25
  6. Step 6: Final answer
    x = 19,175.85

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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.