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Finding the Fourth Proportional to 27,329.16, 37,712.34 and 16,149

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Solution

The fourth proportional to 27,329.16, 37,712.34 and 16,149 is: 22,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,329.16 : 37,712.34 = 16,149 : x
  2. Step 2: Convert to fraction form
    27,329.16/37,712.34 = 16,149/x
  3. Step 3: Cross multiply
    27,329.16x = 37,712.34 × 16,149
  4. Step 4: Simplify right side
    27,329.16x = 609,016,578.66
  5. Step 5: Solve for x
    x = 609,016,578.66/27,329.16
  6. Step 6: Final answer
    x = 22,284.50

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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.