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Finding the Fourth Proportional to 16,003.47, 22,082.18 and 9,628.47

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Solution

The fourth proportional to 16,003.47, 22,082.18 and 9,628.47 is: 13,285.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003.47 : 22,082.18 = 9,628.47 : x
  2. Step 2: Convert to fraction form
    16,003.47/22,082.18 = 9,628.47/x
  3. Step 3: Cross multiply
    16,003.47x = 22,082.18 × 9,628.47
  4. Step 4: Simplify right side
    16,003.47x = 212,617,559.52
  5. Step 5: Solve for x
    x = 212,617,559.52/16,003.47
  6. Step 6: Final answer
    x = 13,285.72

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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.