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Finding the Fourth Proportional to 16,049.66, 22,139.25 and 9,671.90

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Solution

The fourth proportional to 16,049.66, 22,139.25 and 9,671.90 is: 13,341.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,049.66 : 22,139.25 = 9,671.90 : x
  2. Step 2: Convert to fraction form
    16,049.66/22,139.25 = 9,671.90/x
  3. Step 3: Cross multiply
    16,049.66x = 22,139.25 × 9,671.90
  4. Step 4: Simplify right side
    16,049.66x = 214,128,612.08
  5. Step 5: Solve for x
    x = 214,128,612.08/16,049.66
  6. Step 6: Final answer
    x = 13,341.63

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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.