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Finding the Fourth Proportional to 25,114.80, 37,675.98 and 7,586.04

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Solution

The fourth proportional to 25,114.80, 37,675.98 and 7,586.04 is: 11,380.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,114.80 : 37,675.98 = 7,586.04 : x
  2. Step 2: Convert to fraction form
    25,114.80/37,675.98 = 7,586.04/x
  3. Step 3: Cross multiply
    25,114.80x = 37,675.98 × 7,586.04
  4. Step 4: Simplify right side
    25,114.80x = 285,811,491.32
  5. Step 5: Solve for x
    x = 285,811,491.32/25,114.80
  6. Step 6: Final answer
    x = 11,380.20

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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.