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Finding the Fourth Proportional to 27,569.90, 41,342.85 and 12,773.90

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Solution

The fourth proportional to 27,569.90, 41,342.85 and 12,773.90 is: 19,155.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,569.90 : 41,342.85 = 12,773.90 : x
  2. Step 2: Convert to fraction form
    27,569.90/41,342.85 = 12,773.90/x
  3. Step 3: Cross multiply
    27,569.90x = 41,342.85 × 12,773.90
  4. Step 4: Simplify right side
    27,569.90x = 528,109,431.62
  5. Step 5: Solve for x
    x = 528,109,431.62/27,569.90
  6. Step 6: Final answer
    x = 19,155.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.