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Finding the Fourth Proportional to 23,411.72, 35,131.56 and 8,417.60

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Solution

The fourth proportional to 23,411.72, 35,131.56 and 8,417.60 is: 12,631.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,411.72 : 35,131.56 = 8,417.60 : x
  2. Step 2: Convert to fraction form
    23,411.72/35,131.56 = 8,417.60/x
  3. Step 3: Cross multiply
    23,411.72x = 35,131.56 × 8,417.60
  4. Step 4: Simplify right side
    23,411.72x = 295,723,419.46
  5. Step 5: Solve for x
    x = 295,723,419.46/23,411.72
  6. Step 6: Final answer
    x = 12,631.43

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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.