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Finding the Fourth Proportional to 15,298.94, 22,949.50 and 6,405.32

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Solution

The fourth proportional to 15,298.94, 22,949.50 and 6,405.32 is: 9,608.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,298.94 : 22,949.50 = 6,405.32 : x
  2. Step 2: Convert to fraction form
    15,298.94/22,949.50 = 6,405.32/x
  3. Step 3: Cross multiply
    15,298.94x = 22,949.50 × 6,405.32
  4. Step 4: Simplify right side
    15,298.94x = 146,998,784.60
  5. Step 5: Solve for x
    x = 146,998,784.60/15,298.94
  6. Step 6: Final answer
    x = 9,608.43

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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.