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Finding the Fourth Proportional to 16,702.46, 23,049.19 and 9,148.94

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Solution

The fourth proportional to 16,702.46, 23,049.19 and 9,148.94 is: 12,625.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,702.46 : 23,049.19 = 9,148.94 : x
  2. Step 2: Convert to fraction form
    16,702.46/23,049.19 = 9,148.94/x
  3. Step 3: Cross multiply
    16,702.46x = 23,049.19 × 9,148.94
  4. Step 4: Simplify right side
    16,702.46x = 210,875,656.36
  5. Step 5: Solve for x
    x = 210,875,656.36/16,702.46
  6. Step 6: Final answer
    x = 12,625.43

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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.