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Finding the Fourth Proportional to 21,404.57, 32,106.76 and 5,822.15

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Solution

The fourth proportional to 21,404.57, 32,106.76 and 5,822.15 is: 8,733.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,404.57 : 32,106.76 = 5,822.15 : x
  2. Step 2: Convert to fraction form
    21,404.57/32,106.76 = 5,822.15/x
  3. Step 3: Cross multiply
    21,404.57x = 32,106.76 × 5,822.15
  4. Step 4: Simplify right side
    21,404.57x = 186,930,372.73
  5. Step 5: Solve for x
    x = 186,930,372.73/21,404.57
  6. Step 6: Final answer
    x = 8,733.20

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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.