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Finding the Fourth Proportional to 16,276.57, 22,461.78 and 9,474.64

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Solution

The fourth proportional to 16,276.57, 22,461.78 and 9,474.64 is: 13,075.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,276.57 : 22,461.78 = 9,474.64 : x
  2. Step 2: Convert to fraction form
    16,276.57/22,461.78 = 9,474.64/x
  3. Step 3: Cross multiply
    16,276.57x = 22,461.78 × 9,474.64
  4. Step 4: Simplify right side
    16,276.57x = 212,817,311.73
  5. Step 5: Solve for x
    x = 212,817,311.73/16,276.57
  6. Step 6: Final answer
    x = 13,075.07

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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.