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Finding the Fourth Proportional to 25,215.20, 37,822.80 and 9,630.80

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Solution

The fourth proportional to 25,215.20, 37,822.80 and 9,630.80 is: 14,446.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,215.20 : 37,822.80 = 9,630.80 : x
  2. Step 2: Convert to fraction form
    25,215.20/37,822.80 = 9,630.80/x
  3. Step 3: Cross multiply
    25,215.20x = 37,822.80 × 9,630.80
  4. Step 4: Simplify right side
    25,215.20x = 364,263,822.24
  5. Step 5: Solve for x
    x = 364,263,822.24/25,215.20
  6. Step 6: Final answer
    x = 14,446.20

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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.