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Finding the Fourth Proportional to 14,144.34, 19,518.04 and 7,770.78

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Solution

The fourth proportional to 14,144.34, 19,518.04 and 7,770.78 is: 10,723.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,144.34 : 19,518.04 = 7,770.78 : x
  2. Step 2: Convert to fraction form
    14,144.34/19,518.04 = 7,770.78/x
  3. Step 3: Cross multiply
    14,144.34x = 19,518.04 × 7,770.78
  4. Step 4: Simplify right side
    14,144.34x = 151,670,394.87
  5. Step 5: Solve for x
    x = 151,670,394.87/14,144.34
  6. Step 6: Final answer
    x = 10,723.05

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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.