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Finding the Fourth Proportional to 15,216.30, 22,809.87 and 6,439.14

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Solution

The fourth proportional to 15,216.30, 22,809.87 and 6,439.14 is: 9,652.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,216.30 : 22,809.87 = 6,439.14 : x
  2. Step 2: Convert to fraction form
    15,216.30/22,809.87 = 6,439.14/x
  3. Step 3: Cross multiply
    15,216.30x = 22,809.87 × 6,439.14
  4. Step 4: Simplify right side
    15,216.30x = 146,875,946.31
  5. Step 5: Solve for x
    x = 146,875,946.31/15,216.30
  6. Step 6: Final answer
    x = 9,652.54

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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.