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Finding the Fourth Proportional to 17,758.74, 24,506.56 and 9,692.58

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Solution

The fourth proportional to 17,758.74, 24,506.56 and 9,692.58 is: 13,375.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,758.74 : 24,506.56 = 9,692.58 : x
  2. Step 2: Convert to fraction form
    17,758.74/24,506.56 = 9,692.58/x
  3. Step 3: Cross multiply
    17,758.74x = 24,506.56 × 9,692.58
  4. Step 4: Simplify right side
    17,758.74x = 237,531,670.79
  5. Step 5: Solve for x
    x = 237,531,670.79/17,758.74
  6. Step 6: Final answer
    x = 13,375.48

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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.