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Finding the Fourth Proportional to 16,149.72, 22,285.76 and 9,075.68

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Solution

The fourth proportional to 16,149.72, 22,285.76 and 9,075.68 is: 12,523.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,149.72 : 22,285.76 = 9,075.68 : x
  2. Step 2: Convert to fraction form
    16,149.72/22,285.76 = 9,075.68/x
  3. Step 3: Cross multiply
    16,149.72x = 22,285.76 × 9,075.68
  4. Step 4: Simplify right side
    16,149.72x = 202,258,426.32
  5. Step 5: Solve for x
    x = 202,258,426.32/16,149.72
  6. Step 6: Final answer
    x = 12,523.96

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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.