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Finding the Fourth Proportional to 23,411.97, 35,114.58 and 7,618.46

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Solution

The fourth proportional to 23,411.97, 35,114.58 and 7,618.46 is: 11,426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,411.97 : 35,114.58 = 7,618.46 : x
  2. Step 2: Convert to fraction form
    23,411.97/35,114.58 = 7,618.46/x
  3. Step 3: Cross multiply
    23,411.97x = 35,114.58 × 7,618.46
  4. Step 4: Simplify right side
    23,411.97x = 267,518,847.57
  5. Step 5: Solve for x
    x = 267,518,847.57/23,411.97
  6. Step 6: Final answer
    x = 11,426.58

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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.