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Finding the Fourth Proportional to 23,202.48, 34,803.50 and 8,411.07

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Solution

The fourth proportional to 23,202.48, 34,803.50 and 8,411.07 is: 12,616.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,202.48 : 34,803.50 = 8,411.07 : x
  2. Step 2: Convert to fraction form
    23,202.48/34,803.50 = 8,411.07/x
  3. Step 3: Cross multiply
    23,202.48x = 34,803.50 × 8,411.07
  4. Step 4: Simplify right side
    23,202.48x = 292,734,674.75
  5. Step 5: Solve for x
    x = 292,734,674.75/23,202.48
  6. Step 6: Final answer
    x = 12,616.53

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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.