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Finding the Fourth Proportional to 19,906.40, 29,827.20 and 14,657.60

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Solution

The fourth proportional to 19,906.40, 29,827.20 and 14,657.60 is: 21,962.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,906.40 : 29,827.20 = 14,657.60 : x
  2. Step 2: Convert to fraction form
    19,906.40/29,827.20 = 14,657.60/x
  3. Step 3: Cross multiply
    19,906.40x = 29,827.20 × 14,657.60
  4. Step 4: Simplify right side
    19,906.40x = 437,195,166.72
  5. Step 5: Solve for x
    x = 437,195,166.72/19,906.40
  6. Step 6: Final answer
    x = 21,962.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.