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Finding the Fourth Proportional to 21,288.14, 31,949.22 and 9,602.27

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Solution

The fourth proportional to 21,288.14, 31,949.22 and 9,602.27 is: 14,411.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,288.14 : 31,949.22 = 9,602.27 : x
  2. Step 2: Convert to fraction form
    21,288.14/31,949.22 = 9,602.27/x
  3. Step 3: Cross multiply
    21,288.14x = 31,949.22 × 9,602.27
  4. Step 4: Simplify right side
    21,288.14x = 306,785,036.73
  5. Step 5: Solve for x
    x = 306,785,036.73/21,288.14
  6. Step 6: Final answer
    x = 14,411.08

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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.