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Finding the Fourth Proportional to 23,742.60, 35,614.74 and 8,160.12

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Solution

The fourth proportional to 23,742.60, 35,614.74 and 8,160.12 is: 12,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,742.60 : 35,614.74 = 8,160.12 : x
  2. Step 2: Convert to fraction form
    23,742.60/35,614.74 = 8,160.12/x
  3. Step 3: Cross multiply
    23,742.60x = 35,614.74 × 8,160.12
  4. Step 4: Simplify right side
    23,742.60x = 290,620,552.17
  5. Step 5: Solve for x
    x = 290,620,552.17/23,742.60
  6. Step 6: Final answer
    x = 12,240.47

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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.