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Finding the Fourth Proportional to 28,008, 41,997.15 and 8,283.83

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Solution

The fourth proportional to 28,008, 41,997.15 and 8,283.83 is: 12,421.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,008 : 41,997.15 = 8,283.83 : x
  2. Step 2: Convert to fraction form
    28,008/41,997.15 = 8,283.83/x
  3. Step 3: Cross multiply
    28,008x = 41,997.15 × 8,283.83
  4. Step 4: Simplify right side
    28,008x = 347,897,041.10
  5. Step 5: Solve for x
    x = 347,897,041.10/28,008
  6. Step 6: Final answer
    x = 12,421.35

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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.