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Finding the Fourth Proportional to 16,451.16, 24,639.84 and 12,742.17

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Solution

The fourth proportional to 16,451.16, 24,639.84 and 12,742.17 is: 19,084.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,451.16 : 24,639.84 = 12,742.17 : x
  2. Step 2: Convert to fraction form
    16,451.16/24,639.84 = 12,742.17/x
  3. Step 3: Cross multiply
    16,451.16x = 24,639.84 × 12,742.17
  4. Step 4: Simplify right side
    16,451.16x = 313,965,030.05
  5. Step 5: Solve for x
    x = 313,965,030.05/16,451.16
  6. Step 6: Final answer
    x = 19,084.67

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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.