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Finding the Fourth Proportional to 16,182.72, 22,329.54 and 9,107.64

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Solution

The fourth proportional to 16,182.72, 22,329.54 and 9,107.64 is: 12,567.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.72 : 22,329.54 = 9,107.64 : x
  2. Step 2: Convert to fraction form
    16,182.72/22,329.54 = 9,107.64/x
  3. Step 3: Cross multiply
    16,182.72x = 22,329.54 × 9,107.64
  4. Step 4: Simplify right side
    16,182.72x = 203,369,411.69
  5. Step 5: Solve for x
    x = 203,369,411.69/16,182.72
  6. Step 6: Final answer
    x = 12,567.07

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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.