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Finding the Fourth Proportional to 16,066.25, 24,077.50 and 10,212.38

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Solution

The fourth proportional to 16,066.25, 24,077.50 and 10,212.38 is: 15,304.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,066.25 : 24,077.50 = 10,212.38 : x
  2. Step 2: Convert to fraction form
    16,066.25/24,077.50 = 10,212.38/x
  3. Step 3: Cross multiply
    16,066.25x = 24,077.50 × 10,212.38
  4. Step 4: Simplify right side
    16,066.25x = 245,888,581.27
  5. Step 5: Solve for x
    x = 245,888,581.27/16,066.25
  6. Step 6: Final answer
    x = 15,304.67

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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.