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Finding the Fourth Proportional to 19,878.96, 29,822.09 and 6,552.74

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Solution

The fourth proportional to 19,878.96, 29,822.09 and 6,552.74 is: 9,830.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.96 : 29,822.09 = 6,552.74 : x
  2. Step 2: Convert to fraction form
    19,878.96/29,822.09 = 6,552.74/x
  3. Step 3: Cross multiply
    19,878.96x = 29,822.09 × 6,552.74
  4. Step 4: Simplify right side
    19,878.96x = 195,416,220.15
  5. Step 5: Solve for x
    x = 195,416,220.15/19,878.96
  6. Step 6: Final answer
    x = 9,830.30

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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.