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Finding the Fourth Proportional to 16,406.70, 22,640.82 and 9,332.66

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Solution

The fourth proportional to 16,406.70, 22,640.82 and 9,332.66 is: 12,878.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.70 : 22,640.82 = 9,332.66 : x
  2. Step 2: Convert to fraction form
    16,406.70/22,640.82 = 9,332.66/x
  3. Step 3: Cross multiply
    16,406.70x = 22,640.82 × 9,332.66
  4. Step 4: Simplify right side
    16,406.70x = 211,299,075.18
  5. Step 5: Solve for x
    x = 211,299,075.18/16,406.70
  6. Step 6: Final answer
    x = 12,878.83

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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.