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Finding the Fourth Proportional to 17,758.06, 24,506.20 and 9,800.30

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Solution

The fourth proportional to 17,758.06, 24,506.20 and 9,800.30 is: 13,524.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,758.06 : 24,506.20 = 9,800.30 : x
  2. Step 2: Convert to fraction form
    17,758.06/24,506.20 = 9,800.30/x
  3. Step 3: Cross multiply
    17,758.06x = 24,506.20 × 9,800.30
  4. Step 4: Simplify right side
    17,758.06x = 240,168,111.86
  5. Step 5: Solve for x
    x = 240,168,111.86/17,758.06
  6. Step 6: Final answer
    x = 13,524.46

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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.