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Finding the Fourth Proportional to 21,104.66, 31,657.29 and 5,522.28

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Solution

The fourth proportional to 21,104.66, 31,657.29 and 5,522.28 is: 8,283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,104.66 : 31,657.29 = 5,522.28 : x
  2. Step 2: Convert to fraction form
    21,104.66/31,657.29 = 5,522.28/x
  3. Step 3: Cross multiply
    21,104.66x = 31,657.29 × 5,522.28
  4. Step 4: Simplify right side
    21,104.66x = 174,820,419.42
  5. Step 5: Solve for x
    x = 174,820,419.42/21,104.66
  6. Step 6: Final answer
    x = 8,283.50

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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.