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Finding the Fourth Proportional to 14,212.85, 19,613.90 and 7,839.45

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Solution

The fourth proportional to 14,212.85, 19,613.90 and 7,839.45 is: 10,818.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,212.85 : 19,613.90 = 7,839.45 : x
  2. Step 2: Convert to fraction form
    14,212.85/19,613.90 = 7,839.45/x
  3. Step 3: Cross multiply
    14,212.85x = 19,613.90 × 7,839.45
  4. Step 4: Simplify right side
    14,212.85x = 153,762,163.86
  5. Step 5: Solve for x
    x = 153,762,163.86/14,212.85
  6. Step 6: Final answer
    x = 10,818.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.