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Finding the Fourth Proportional to 27,403.15, 37,822.67 and 16,076.29

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Solution

The fourth proportional to 27,403.15, 37,822.67 and 16,076.29 is: 22,188.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,403.15 : 37,822.67 = 16,076.29 : x
  2. Step 2: Convert to fraction form
    27,403.15/37,822.67 = 16,076.29/x
  3. Step 3: Cross multiply
    27,403.15x = 37,822.67 × 16,076.29
  4. Step 4: Simplify right side
    27,403.15x = 608,048,061.38
  5. Step 5: Solve for x
    x = 608,048,061.38/27,403.15
  6. Step 6: Final answer
    x = 22,188.98

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Why These Related Problems?

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