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Finding the Fourth Proportional to 14,770.95, 22,012.45 and 14,344.49

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Solution

The fourth proportional to 14,770.95, 22,012.45 and 14,344.49 is: 21,376.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,770.95 : 22,012.45 = 14,344.49 : x
  2. Step 2: Convert to fraction form
    14,770.95/22,012.45 = 14,344.49/x
  3. Step 3: Cross multiply
    14,770.95x = 22,012.45 × 14,344.49
  4. Step 4: Simplify right side
    14,770.95x = 315,757,187.12
  5. Step 5: Solve for x
    x = 315,757,187.12/14,770.95
  6. Step 6: Final answer
    x = 21,376.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.