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Finding the Fourth Proportional to 16,349.84, 22,562.00 and 9,082.40

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Solution

The fourth proportional to 16,349.84, 22,562.00 and 9,082.40 is: 12,533.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,349.84 : 22,562.00 = 9,082.40 : x
  2. Step 2: Convert to fraction form
    16,349.84/22,562.00 = 9,082.40/x
  3. Step 3: Cross multiply
    16,349.84x = 22,562.00 × 9,082.40
  4. Step 4: Simplify right side
    16,349.84x = 204,916,950.58
  5. Step 5: Solve for x
    x = 204,916,950.58/16,349.84
  6. Step 6: Final answer
    x = 12,533.27

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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.