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Finding the Fourth Proportional to 22,068.72, 33,111.24 and 10,228.14

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Solution

The fourth proportional to 22,068.72, 33,111.24 and 10,228.14 is: 15,345.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,068.72 : 33,111.24 = 10,228.14 : x
  2. Step 2: Convert to fraction form
    22,068.72/33,111.24 = 10,228.14/x
  3. Step 3: Cross multiply
    22,068.72x = 33,111.24 × 10,228.14
  4. Step 4: Simplify right side
    22,068.72x = 338,666,398.29
  5. Step 5: Solve for x
    x = 338,666,398.29/22,068.72
  6. Step 6: Final answer
    x = 15,345.99

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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.