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Finding the Fourth Proportional to 16,451.34, 22,702.76 and 8,897.61

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Solution

The fourth proportional to 16,451.34, 22,702.76 and 8,897.61 is: 12,278.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,451.34 : 22,702.76 = 8,897.61 : x
  2. Step 2: Convert to fraction form
    16,451.34/22,702.76 = 8,897.61/x
  3. Step 3: Cross multiply
    16,451.34x = 22,702.76 × 8,897.61
  4. Step 4: Simplify right side
    16,451.34x = 202,000,161.84
  5. Step 5: Solve for x
    x = 202,000,161.84/16,451.34
  6. Step 6: Final answer
    x = 12,278.65

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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.