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Finding the Fourth Proportional to 21,657.41, 32,487.03 and 6,866.00

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Solution

The fourth proportional to 21,657.41, 32,487.03 and 6,866.00 is: 10,299.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,657.41 : 32,487.03 = 6,866.00 : x
  2. Step 2: Convert to fraction form
    21,657.41/32,487.03 = 6,866.00/x
  3. Step 3: Cross multiply
    21,657.41x = 32,487.03 × 6,866.00
  4. Step 4: Simplify right side
    21,657.41x = 223,055,785.54
  5. Step 5: Solve for x
    x = 223,055,785.54/21,657.41
  6. Step 6: Final answer
    x = 10,299.28

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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.