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Finding the Fourth Proportional to 24,653.18, 36,981.81 and 8,012.84

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Solution

The fourth proportional to 24,653.18, 36,981.81 and 8,012.84 is: 12,019.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,653.18 : 36,981.81 = 8,012.84 : x
  2. Step 2: Convert to fraction form
    24,653.18/36,981.81 = 8,012.84/x
  3. Step 3: Cross multiply
    24,653.18x = 36,981.81 × 8,012.84
  4. Step 4: Simplify right side
    24,653.18x = 296,329,141.53
  5. Step 5: Solve for x
    x = 296,329,141.53/24,653.18
  6. Step 6: Final answer
    x = 12,019.92

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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.