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Finding the Fourth Proportional to 21,732.64, 29,991.52 and 13,235.16

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Solution

The fourth proportional to 21,732.64, 29,991.52 and 13,235.16 is: 18,264.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,732.64 : 29,991.52 = 13,235.16 : x
  2. Step 2: Convert to fraction form
    21,732.64/29,991.52 = 13,235.16/x
  3. Step 3: Cross multiply
    21,732.64x = 29,991.52 × 13,235.16
  4. Step 4: Simplify right side
    21,732.64x = 396,942,565.84
  5. Step 5: Solve for x
    x = 396,942,565.84/21,732.64
  6. Step 6: Final answer
    x = 18,264.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.