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Finding the Fourth Proportional to 14,454.90, 19,946.13 and 8,167.26

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Solution

The fourth proportional to 14,454.90, 19,946.13 and 8,167.26 is: 11,269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454.90 : 19,946.13 = 8,167.26 : x
  2. Step 2: Convert to fraction form
    14,454.90/19,946.13 = 8,167.26/x
  3. Step 3: Cross multiply
    14,454.90x = 19,946.13 × 8,167.26
  4. Step 4: Simplify right side
    14,454.90x = 162,905,229.70
  5. Step 5: Solve for x
    x = 162,905,229.70/14,454.90
  6. Step 6: Final answer
    x = 11,269.90

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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.