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Finding the Fourth Proportional to 19,877.67, 29,830.14 and 8,190.81

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Solution

The fourth proportional to 19,877.67, 29,830.14 and 8,190.81 is: 12,291.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,877.67 : 29,830.14 = 8,190.81 : x
  2. Step 2: Convert to fraction form
    19,877.67/29,830.14 = 8,190.81/x
  3. Step 3: Cross multiply
    19,877.67x = 29,830.14 × 8,190.81
  4. Step 4: Simplify right side
    19,877.67x = 244,333,009.01
  5. Step 5: Solve for x
    x = 244,333,009.01/19,877.67
  6. Step 6: Final answer
    x = 12,291.83

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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.