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Finding the Fourth Proportional to 16,702.34, 23,049.88 and 9,148.20

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Solution

The fourth proportional to 16,702.34, 23,049.88 and 9,148.20 is: 12,624.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,702.34 : 23,049.88 = 9,148.20 : x
  2. Step 2: Convert to fraction form
    16,702.34/23,049.88 = 9,148.20/x
  3. Step 3: Cross multiply
    16,702.34x = 23,049.88 × 9,148.20
  4. Step 4: Simplify right side
    16,702.34x = 210,864,912.22
  5. Step 5: Solve for x
    x = 210,864,912.22/16,702.34
  6. Step 6: Final answer
    x = 12,624.87

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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.