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Finding the Fourth Proportional to 15,322.67, 22,962.74 and 6,982.31

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Solution

The fourth proportional to 15,322.67, 22,962.74 and 6,982.31 is: 10,463.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,322.67 : 22,962.74 = 6,982.31 : x
  2. Step 2: Convert to fraction form
    15,322.67/22,962.74 = 6,982.31/x
  3. Step 3: Cross multiply
    15,322.67x = 22,962.74 × 6,982.31
  4. Step 4: Simplify right side
    15,322.67x = 160,332,871.77
  5. Step 5: Solve for x
    x = 160,332,871.77/15,322.67
  6. Step 6: Final answer
    x = 10,463.77

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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.