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Finding the Fourth Proportional to 21,671.78, 32,512.54 and 6,881.18

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Solution

The fourth proportional to 21,671.78, 32,512.54 and 6,881.18 is: 10,323.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,671.78 : 32,512.54 = 6,881.18 : x
  2. Step 2: Convert to fraction form
    21,671.78/32,512.54 = 6,881.18/x
  3. Step 3: Cross multiply
    21,671.78x = 32,512.54 × 6,881.18
  4. Step 4: Simplify right side
    21,671.78x = 223,724,640.00
  5. Step 5: Solve for x
    x = 223,724,640.00/21,671.78
  6. Step 6: Final answer
    x = 10,323.32

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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.