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Finding the Fourth Proportional to 24,008.40, 35,999.10 and 9,217.80

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Solution

The fourth proportional to 24,008.40, 35,999.10 and 9,217.80 is: 13,821.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,008.40 : 35,999.10 = 9,217.80 : x
  2. Step 2: Convert to fraction form
    24,008.40/35,999.10 = 9,217.80/x
  3. Step 3: Cross multiply
    24,008.40x = 35,999.10 × 9,217.80
  4. Step 4: Simplify right side
    24,008.40x = 331,832,503.98
  5. Step 5: Solve for x
    x = 331,832,503.98/24,008.40
  6. Step 6: Final answer
    x = 13,821.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.