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Finding the Fourth Proportional to 27,569.82, 38,045.20 and 16,239.78

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Solution

The fourth proportional to 27,569.82, 38,045.20 and 16,239.78 is: 22,410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,569.82 : 38,045.20 = 16,239.78 : x
  2. Step 2: Convert to fraction form
    27,569.82/38,045.20 = 16,239.78/x
  3. Step 3: Cross multiply
    27,569.82x = 38,045.20 × 16,239.78
  4. Step 4: Simplify right side
    27,569.82x = 617,845,678.06
  5. Step 5: Solve for x
    x = 617,845,678.06/27,569.82
  6. Step 6: Final answer
    x = 22,410.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.