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Finding the Fourth Proportional to 21,673.50, 32,522.40 and 21,508.26

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Solution

The fourth proportional to 21,673.50, 32,522.40 and 21,508.26 is: 32,274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,673.50 : 32,522.40 = 21,508.26 : x
  2. Step 2: Convert to fraction form
    21,673.50/32,522.40 = 21,508.26/x
  3. Step 3: Cross multiply
    21,673.50x = 32,522.40 × 21,508.26
  4. Step 4: Simplify right side
    21,673.50x = 699,500,235.02
  5. Step 5: Solve for x
    x = 699,500,235.02/21,673.50
  6. Step 6: Final answer
    x = 32,274.45

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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.