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Finding the Fourth Proportional to 23,594.82, 35,375.78 and 10,440

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Solution

The fourth proportional to 23,594.82, 35,375.78 and 10,440 is: 15,652.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,594.82 : 35,375.78 = 10,440 : x
  2. Step 2: Convert to fraction form
    23,594.82/35,375.78 = 10,440/x
  3. Step 3: Cross multiply
    23,594.82x = 35,375.78 × 10,440
  4. Step 4: Simplify right side
    23,594.82x = 369,323,143.20
  5. Step 5: Solve for x
    x = 369,323,143.20/23,594.82
  6. Step 6: Final answer
    x = 15,652.72

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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.