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Finding the Fourth Proportional to 16,758.57, 23,126.84 and 9,204.88

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Solution

The fourth proportional to 16,758.57, 23,126.84 and 9,204.88 is: 12,702.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,758.57 : 23,126.84 = 9,204.88 : x
  2. Step 2: Convert to fraction form
    16,758.57/23,126.84 = 9,204.88/x
  3. Step 3: Cross multiply
    16,758.57x = 23,126.84 × 9,204.88
  4. Step 4: Simplify right side
    16,758.57x = 212,879,754.39
  5. Step 5: Solve for x
    x = 212,879,754.39/16,758.57
  6. Step 6: Final answer
    x = 12,702.74

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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.