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Finding the Fourth Proportional to 21,553.14, 32,305.74 and 9,069.48

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Solution

The fourth proportional to 21,553.14, 32,305.74 and 9,069.48 is: 13,594.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,553.14 : 32,305.74 = 9,069.48 : x
  2. Step 2: Convert to fraction form
    21,553.14/32,305.74 = 9,069.48/x
  3. Step 3: Cross multiply
    21,553.14x = 32,305.74 × 9,069.48
  4. Step 4: Simplify right side
    21,553.14x = 292,996,262.82
  5. Step 5: Solve for x
    x = 292,996,262.82/21,553.14
  6. Step 6: Final answer
    x = 13,594.13

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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.