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Finding the Fourth Proportional to 24,206.33, 36,309.52 and 7,566.45

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Solution

The fourth proportional to 24,206.33, 36,309.52 and 7,566.45 is: 11,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,206.33 : 36,309.52 = 7,566.45 : x
  2. Step 2: Convert to fraction form
    24,206.33/36,309.52 = 7,566.45/x
  3. Step 3: Cross multiply
    24,206.33x = 36,309.52 × 7,566.45
  4. Step 4: Simplify right side
    24,206.33x = 274,734,167.60
  5. Step 5: Solve for x
    x = 274,734,167.60/24,206.33
  6. Step 6: Final answer
    x = 11,349.68

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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.