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Finding the Fourth Proportional to 14,149.96, 19,527.12 and 7,777.25

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Solution

The fourth proportional to 14,149.96, 19,527.12 and 7,777.25 is: 10,732.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,149.96 : 19,527.12 = 7,777.25 : x
  2. Step 2: Convert to fraction form
    14,149.96/19,527.12 = 7,777.25/x
  3. Step 3: Cross multiply
    14,149.96x = 19,527.12 × 7,777.25
  4. Step 4: Simplify right side
    14,149.96x = 151,867,298.78
  5. Step 5: Solve for x
    x = 151,867,298.78/14,149.96
  6. Step 6: Final answer
    x = 10,732.70

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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.