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Finding the Fourth Proportional to 14,562.16, 21,843.24 and 5,323.12

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Solution

The fourth proportional to 14,562.16, 21,843.24 and 5,323.12 is: 7,984.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562.16 : 21,843.24 = 5,323.12 : x
  2. Step 2: Convert to fraction form
    14,562.16/21,843.24 = 5,323.12/x
  3. Step 3: Cross multiply
    14,562.16x = 21,843.24 × 5,323.12
  4. Step 4: Simplify right side
    14,562.16x = 116,274,187.71
  5. Step 5: Solve for x
    x = 116,274,187.71/14,562.16
  6. Step 6: Final answer
    x = 7,984.68

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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.