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Finding the Fourth Proportional to 23,074.68, 34,612.04 and 6,434.76

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Solution

The fourth proportional to 23,074.68, 34,612.04 and 6,434.76 is: 9,652.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,074.68 : 34,612.04 = 6,434.76 : x
  2. Step 2: Convert to fraction form
    23,074.68/34,612.04 = 6,434.76/x
  3. Step 3: Cross multiply
    23,074.68x = 34,612.04 × 6,434.76
  4. Step 4: Simplify right side
    23,074.68x = 222,720,170.51
  5. Step 5: Solve for x
    x = 222,720,170.51/23,074.68
  6. Step 6: Final answer
    x = 9,652.15

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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.