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Finding the Fourth Proportional to 16,139.10, 22,269.15 and 9,065.82

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Solution

The fourth proportional to 16,139.10, 22,269.15 and 9,065.82 is: 12,509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,139.10 : 22,269.15 = 9,065.82 : x
  2. Step 2: Convert to fraction form
    16,139.10/22,269.15 = 9,065.82/x
  3. Step 3: Cross multiply
    16,139.10x = 22,269.15 × 9,065.82
  4. Step 4: Simplify right side
    16,139.10x = 201,888,105.45
  5. Step 5: Solve for x
    x = 201,888,105.45/16,139.10
  6. Step 6: Final answer
    x = 12,509.25

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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.