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Finding the Fourth Proportional to 23,784.68, 35,678.51 and 7,988.46

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Solution

The fourth proportional to 23,784.68, 35,678.51 and 7,988.46 is: 11,983.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,784.68 : 35,678.51 = 7,988.46 : x
  2. Step 2: Convert to fraction form
    23,784.68/35,678.51 = 7,988.46/x
  3. Step 3: Cross multiply
    23,784.68x = 35,678.51 × 7,988.46
  4. Step 4: Simplify right side
    23,784.68x = 285,016,310.05
  5. Step 5: Solve for x
    x = 285,016,310.05/23,784.68
  6. Step 6: Final answer
    x = 11,983.19

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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.