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Finding the Fourth Proportional to 21,607.14, 32,397.75 and 8,443.83

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Solution

The fourth proportional to 21,607.14, 32,397.75 and 8,443.83 is: 12,660.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,607.14 : 32,397.75 = 8,443.83 : x
  2. Step 2: Convert to fraction form
    21,607.14/32,397.75 = 8,443.83/x
  3. Step 3: Cross multiply
    21,607.14x = 32,397.75 × 8,443.83
  4. Step 4: Simplify right side
    21,607.14x = 273,561,051.16
  5. Step 5: Solve for x
    x = 273,561,051.16/21,607.14
  6. Step 6: Final answer
    x = 12,660.68

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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.