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Finding the Fourth Proportional to 21,252.16, 31,889.22 and 9,562.96

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Solution

The fourth proportional to 21,252.16, 31,889.22 and 9,562.96 is: 14,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,252.16 : 31,889.22 = 9,562.96 : x
  2. Step 2: Convert to fraction form
    21,252.16/31,889.22 = 9,562.96/x
  3. Step 3: Cross multiply
    21,252.16x = 31,889.22 × 9,562.96
  4. Step 4: Simplify right side
    21,252.16x = 304,955,335.29
  5. Step 5: Solve for x
    x = 304,955,335.29/21,252.16
  6. Step 6: Final answer
    x = 14,349.38

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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.