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Finding the Fourth Proportional to 17,759.34, 24,506.57 and 10,205.69

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Solution

The fourth proportional to 17,759.34, 24,506.57 and 10,205.69 is: 14,083.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,759.34 : 24,506.57 = 10,205.69 : x
  2. Step 2: Convert to fraction form
    17,759.34/24,506.57 = 10,205.69/x
  3. Step 3: Cross multiply
    17,759.34x = 24,506.57 × 10,205.69
  4. Step 4: Simplify right side
    17,759.34x = 250,106,282.82
  5. Step 5: Solve for x
    x = 250,106,282.82/17,759.34
  6. Step 6: Final answer
    x = 14,083.08

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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.