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Finding the Fourth Proportional to 21,257.16, 31,896.72 and 9,567.96

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Solution

The fourth proportional to 21,257.16, 31,896.72 and 9,567.96 is: 14,356.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,257.16 : 31,896.72 = 9,567.96 : x
  2. Step 2: Convert to fraction form
    21,257.16/31,896.72 = 9,567.96/x
  3. Step 3: Cross multiply
    21,257.16x = 31,896.72 × 9,567.96
  4. Step 4: Simplify right side
    21,257.16x = 305,186,541.09
  5. Step 5: Solve for x
    x = 305,186,541.09/21,257.16
  6. Step 6: Final answer
    x = 14,356.88

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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.