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Finding the Fourth Proportional to 14,562.32, 21,822.60 and 8,309.36

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Solution

The fourth proportional to 14,562.32, 21,822.60 and 8,309.36 is: 12,452.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562.32 : 21,822.60 = 8,309.36 : x
  2. Step 2: Convert to fraction form
    14,562.32/21,822.60 = 8,309.36/x
  3. Step 3: Cross multiply
    14,562.32x = 21,822.60 × 8,309.36
  4. Step 4: Simplify right side
    14,562.32x = 181,331,839.54
  5. Step 5: Solve for x
    x = 181,331,839.54/14,562.32
  6. Step 6: Final answer
    x = 12,452.13

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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.