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Finding the Fourth Proportional to 17,758.40, 24,506.80 and 9,800.96

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Solution

The fourth proportional to 17,758.40, 24,506.80 and 9,800.96 is: 13,525.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,758.40 : 24,506.80 = 9,800.96 : x
  2. Step 2: Convert to fraction form
    17,758.40/24,506.80 = 9,800.96/x
  3. Step 3: Cross multiply
    17,758.40x = 24,506.80 × 9,800.96
  4. Step 4: Simplify right side
    17,758.40x = 240,190,166.53
  5. Step 5: Solve for x
    x = 240,190,166.53/17,758.40
  6. Step 6: Final answer
    x = 13,525.44

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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.