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Finding the Fourth Proportional to 25,379.66, 38,069.50 and 7,849.10

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Solution

The fourth proportional to 25,379.66, 38,069.50 and 7,849.10 is: 11,773.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,379.66 : 38,069.50 = 7,849.10 : x
  2. Step 2: Convert to fraction form
    25,379.66/38,069.50 = 7,849.10/x
  3. Step 3: Cross multiply
    25,379.66x = 38,069.50 × 7,849.10
  4. Step 4: Simplify right side
    25,379.66x = 298,811,312.45
  5. Step 5: Solve for x
    x = 298,811,312.45/25,379.66
  6. Step 6: Final answer
    x = 11,773.65

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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.