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Finding the Fourth Proportional to 24,206.58, 36,309.89 and 7,566.70

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Solution

The fourth proportional to 24,206.58, 36,309.89 and 7,566.70 is: 11,350.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,206.58 : 36,309.89 = 7,566.70 : x
  2. Step 2: Convert to fraction form
    24,206.58/36,309.89 = 7,566.70/x
  3. Step 3: Cross multiply
    24,206.58x = 36,309.89 × 7,566.70
  4. Step 4: Simplify right side
    24,206.58x = 274,746,044.66
  5. Step 5: Solve for x
    x = 274,746,044.66/24,206.58
  6. Step 6: Final answer
    x = 11,350.06

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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.