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Finding the Fourth Proportional to 23,184.83, 34,756.64 and 8,390.48

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Solution

The fourth proportional to 23,184.83, 34,756.64 and 8,390.48 is: 12,578.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,184.83 : 34,756.64 = 8,390.48 : x
  2. Step 2: Convert to fraction form
    23,184.83/34,756.64 = 8,390.48/x
  3. Step 3: Cross multiply
    23,184.83x = 34,756.64 × 8,390.48
  4. Step 4: Simplify right side
    23,184.83x = 291,624,850.83
  5. Step 5: Solve for x
    x = 291,624,850.83/23,184.83
  6. Step 6: Final answer
    x = 12,578.26

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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.