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Finding the Fourth Proportional to 21,674.30, 32,484.83 and 12,322.13

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Solution

The fourth proportional to 21,674.30, 32,484.83 and 12,322.13 is: 18,468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,674.30 : 32,484.83 = 12,322.13 : x
  2. Step 2: Convert to fraction form
    21,674.30/32,484.83 = 12,322.13/x
  3. Step 3: Cross multiply
    21,674.30x = 32,484.83 × 12,322.13
  4. Step 4: Simplify right side
    21,674.30x = 400,282,074.25
  5. Step 5: Solve for x
    x = 400,282,074.25/21,674.30
  6. Step 6: Final answer
    x = 18,468.06

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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.