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Finding the Fourth Proportional to 21,649.74, 32,470.95 and 6,063.78

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Solution

The fourth proportional to 21,649.74, 32,470.95 and 6,063.78 is: 9,094.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,649.74 : 32,470.95 = 6,063.78 : x
  2. Step 2: Convert to fraction form
    21,649.74/32,470.95 = 6,063.78/x
  3. Step 3: Cross multiply
    21,649.74x = 32,470.95 × 6,063.78
  4. Step 4: Simplify right side
    21,649.74x = 196,896,697.19
  5. Step 5: Solve for x
    x = 196,896,697.19/21,649.74
  6. Step 6: Final answer
    x = 9,094.64

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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.