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Finding the Fourth Proportional to 19,833, 29,748.60 and 6,685.32

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Solution

The fourth proportional to 19,833, 29,748.60 and 6,685.32 is: 10,027.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,833 : 29,748.60 = 6,685.32 : x
  2. Step 2: Convert to fraction form
    19,833/29,748.60 = 6,685.32/x
  3. Step 3: Cross multiply
    19,833x = 29,748.60 × 6,685.32
  4. Step 4: Simplify right side
    19,833x = 198,878,910.55
  5. Step 5: Solve for x
    x = 198,878,910.55/19,833
  6. Step 6: Final answer
    x = 10,027.68

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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.