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Finding the Fourth Proportional to 25,225.84, 37,847.40 and 9,647.92

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Solution

The fourth proportional to 25,225.84, 37,847.40 and 9,647.92 is: 14,475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,225.84 : 37,847.40 = 9,647.92 : x
  2. Step 2: Convert to fraction form
    25,225.84/37,847.40 = 9,647.92/x
  3. Step 3: Cross multiply
    25,225.84x = 37,847.40 × 9,647.92
  4. Step 4: Simplify right side
    25,225.84x = 365,148,687.41
  5. Step 5: Solve for x
    x = 365,148,687.41/25,225.84
  6. Step 6: Final answer
    x = 14,475.18

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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.