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Finding the Fourth Proportional to 21,212.48, 31,820.28 and 5,630

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Solution

The fourth proportional to 21,212.48, 31,820.28 and 5,630 is: 8,445.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,212.48 : 31,820.28 = 5,630 : x
  2. Step 2: Convert to fraction form
    21,212.48/31,820.28 = 5,630/x
  3. Step 3: Cross multiply
    21,212.48x = 31,820.28 × 5,630
  4. Step 4: Simplify right side
    21,212.48x = 179,148,176.40
  5. Step 5: Solve for x
    x = 179,148,176.40/21,212.48
  6. Step 6: Final answer
    x = 8,445.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.