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Finding the Fourth Proportional to 12,472.65, 18,708.98 and 6,223.32

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Solution

The fourth proportional to 12,472.65, 18,708.98 and 6,223.32 is: 9,334.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472.65 : 18,708.98 = 6,223.32 : x
  2. Step 2: Convert to fraction form
    12,472.65/18,708.98 = 6,223.32/x
  3. Step 3: Cross multiply
    12,472.65x = 18,708.98 × 6,223.32
  4. Step 4: Simplify right side
    12,472.65x = 116,431,938.30
  5. Step 5: Solve for x
    x = 116,431,938.30/12,472.65
  6. Step 6: Final answer
    x = 9,334.98

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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.