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Finding the Fourth Proportional to 24,208.98, 36,299.49 and 9,400.59

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Solution

The fourth proportional to 24,208.98, 36,299.49 and 9,400.59 is: 14,095.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,208.98 : 36,299.49 = 9,400.59 : x
  2. Step 2: Convert to fraction form
    24,208.98/36,299.49 = 9,400.59/x
  3. Step 3: Cross multiply
    24,208.98x = 36,299.49 × 9,400.59
  4. Step 4: Simplify right side
    24,208.98x = 341,236,622.70
  5. Step 5: Solve for x
    x = 341,236,622.70/24,208.98
  6. Step 6: Final answer
    x = 14,095.46

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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.