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Finding the Fourth Proportional to 23,199.53, 34,802.82 and 8,411.90

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Solution

The fourth proportional to 23,199.53, 34,802.82 and 8,411.90 is: 12,619.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,199.53 : 34,802.82 = 8,411.90 : x
  2. Step 2: Convert to fraction form
    23,199.53/34,802.82 = 8,411.90/x
  3. Step 3: Cross multiply
    23,199.53x = 34,802.82 × 8,411.90
  4. Step 4: Simplify right side
    23,199.53x = 292,757,667.54
  5. Step 5: Solve for x
    x = 292,757,667.54/23,199.53
  6. Step 6: Final answer
    x = 12,619.12

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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.