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Finding the Fourth Proportional to 23,619.44, 35,404.86 and 10,478

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Solution

The fourth proportional to 23,619.44, 35,404.86 and 10,478 is: 15,706.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,619.44 : 35,404.86 = 10,478 : x
  2. Step 2: Convert to fraction form
    23,619.44/35,404.86 = 10,478/x
  3. Step 3: Cross multiply
    23,619.44x = 35,404.86 × 10,478
  4. Step 4: Simplify right side
    23,619.44x = 370,972,123.08
  5. Step 5: Solve for x
    x = 370,972,123.08/23,619.44
  6. Step 6: Final answer
    x = 15,706.22

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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.