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Finding the Fourth Proportional to 24,501.64, 36,752.66 and 7,861.81

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Solution

The fourth proportional to 24,501.64, 36,752.66 and 7,861.81 is: 11,792.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,501.64 : 36,752.66 = 7,861.81 : x
  2. Step 2: Convert to fraction form
    24,501.64/36,752.66 = 7,861.81/x
  3. Step 3: Cross multiply
    24,501.64x = 36,752.66 × 7,861.81
  4. Step 4: Simplify right side
    24,501.64x = 288,942,429.91
  5. Step 5: Solve for x
    x = 288,942,429.91/24,501.64
  6. Step 6: Final answer
    x = 11,792.78

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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.