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Finding the Fourth Proportional to 16,180.64, 22,330.08 and 9,107.84

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Solution

The fourth proportional to 16,180.64, 22,330.08 and 9,107.84 is: 12,569.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,180.64 : 22,330.08 = 9,107.84 : x
  2. Step 2: Convert to fraction form
    16,180.64/22,330.08 = 9,107.84/x
  3. Step 3: Cross multiply
    16,180.64x = 22,330.08 × 9,107.84
  4. Step 4: Simplify right side
    16,180.64x = 203,378,795.83
  5. Step 5: Solve for x
    x = 203,378,795.83/16,180.64
  6. Step 6: Final answer
    x = 12,569.27

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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.