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Finding the Fourth Proportional to 23,683.58, 35,512.30 and 9,640

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Solution

The fourth proportional to 23,683.58, 35,512.30 and 9,640 is: 14,454.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,683.58 : 35,512.30 = 9,640 : x
  2. Step 2: Convert to fraction form
    23,683.58/35,512.30 = 9,640/x
  3. Step 3: Cross multiply
    23,683.58x = 35,512.30 × 9,640
  4. Step 4: Simplify right side
    23,683.58x = 342,338,572
  5. Step 5: Solve for x
    x = 342,338,572/23,683.58
  6. Step 6: Final answer
    x = 14,454.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.