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Finding the Fourth Proportional to 25,539.30, 38,309.02 and 7,770.13

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Solution

The fourth proportional to 25,539.30, 38,309.02 and 7,770.13 is: 11,655.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,539.30 : 38,309.02 = 7,770.13 : x
  2. Step 2: Convert to fraction form
    25,539.30/38,309.02 = 7,770.13/x
  3. Step 3: Cross multiply
    25,539.30x = 38,309.02 × 7,770.13
  4. Step 4: Simplify right side
    25,539.30x = 297,665,950.37
  5. Step 5: Solve for x
    x = 297,665,950.37/25,539.30
  6. Step 6: Final answer
    x = 11,655.21

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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.