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Finding the Fourth Proportional to 24,005.90, 35,984.25 and 9,210.85

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Solution

The fourth proportional to 24,005.90, 35,984.25 and 9,210.85 is: 13,806.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,005.90 : 35,984.25 = 9,210.85 : x
  2. Step 2: Convert to fraction form
    24,005.90/35,984.25 = 9,210.85/x
  3. Step 3: Cross multiply
    24,005.90x = 35,984.25 × 9,210.85
  4. Step 4: Simplify right side
    24,005.90x = 331,445,439.15
  5. Step 5: Solve for x
    x = 331,445,439.15/24,005.90
  6. Step 6: Final answer
    x = 13,806.83

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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.