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Finding the Fourth Proportional to 27,649.71, 38,154.90 and 16,319.64

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Solution

The fourth proportional to 27,649.71, 38,154.90 and 16,319.64 is: 22,520.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,649.71 : 38,154.90 = 16,319.64 : x
  2. Step 2: Convert to fraction form
    27,649.71/38,154.90 = 16,319.64/x
  3. Step 3: Cross multiply
    27,649.71x = 38,154.90 × 16,319.64
  4. Step 4: Simplify right side
    27,649.71x = 622,674,232.24
  5. Step 5: Solve for x
    x = 622,674,232.24/27,649.71
  6. Step 6: Final answer
    x = 22,520.10

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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.