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Finding the Fourth Proportional to 23,141.64, 34,712.57 and 5,611.46

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Solution

The fourth proportional to 23,141.64, 34,712.57 and 5,611.46 is: 8,417.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,141.64 : 34,712.57 = 5,611.46 : x
  2. Step 2: Convert to fraction form
    23,141.64/34,712.57 = 5,611.46/x
  3. Step 3: Cross multiply
    23,141.64x = 34,712.57 × 5,611.46
  4. Step 4: Simplify right side
    23,141.64x = 194,788,360.49
  5. Step 5: Solve for x
    x = 194,788,360.49/23,141.64
  6. Step 6: Final answer
    x = 8,417.22

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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.