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Finding the Fourth Proportional to 17,758.48, 24,506.70 and 9,692.16

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Solution

The fourth proportional to 17,758.48, 24,506.70 and 9,692.16 is: 13,375.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,758.48 : 24,506.70 = 9,692.16 : x
  2. Step 2: Convert to fraction form
    17,758.48/24,506.70 = 9,692.16/x
  3. Step 3: Cross multiply
    17,758.48x = 24,506.70 × 9,692.16
  4. Step 4: Simplify right side
    17,758.48x = 237,522,857.47
  5. Step 5: Solve for x
    x = 237,522,857.47/17,758.48
  6. Step 6: Final answer
    x = 13,375.18

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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.