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Finding the Fourth Proportional to 23,188.84, 34,762.64 and 8,394.48

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Solution

The fourth proportional to 23,188.84, 34,762.64 and 8,394.48 is: 12,584.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,188.84 : 34,762.64 = 8,394.48 : x
  2. Step 2: Convert to fraction form
    23,188.84/34,762.64 = 8,394.48/x
  3. Step 3: Cross multiply
    23,188.84x = 34,762.64 × 8,394.48
  4. Step 4: Simplify right side
    23,188.84x = 291,814,244.25
  5. Step 5: Solve for x
    x = 291,814,244.25/23,188.84
  6. Step 6: Final answer
    x = 12,584.26

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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.