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Finding the Fourth Proportional to 22,378.78, 33,568.16 and 10,656.46

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Solution

The fourth proportional to 22,378.78, 33,568.16 and 10,656.46 is: 15,984.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,378.78 : 33,568.16 = 10,656.46 : x
  2. Step 2: Convert to fraction form
    22,378.78/33,568.16 = 10,656.46/x
  3. Step 3: Cross multiply
    22,378.78x = 33,568.16 × 10,656.46
  4. Step 4: Simplify right side
    22,378.78x = 357,717,754.31
  5. Step 5: Solve for x
    x = 357,717,754.31/22,378.78
  6. Step 6: Final answer
    x = 15,984.69

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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.