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Finding the Fourth Proportional to 27,014.77, 37,291.76 and 16,407.82

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Solution

The fourth proportional to 27,014.77, 37,291.76 and 16,407.82 is: 22,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,014.77 : 37,291.76 = 16,407.82 : x
  2. Step 2: Convert to fraction form
    27,014.77/37,291.76 = 16,407.82/x
  3. Step 3: Cross multiply
    27,014.77x = 37,291.76 × 16,407.82
  4. Step 4: Simplify right side
    27,014.77x = 611,876,485.56
  5. Step 5: Solve for x
    x = 611,876,485.56/27,014.77
  6. Step 6: Final answer
    x = 22,649.70

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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.