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Finding the Fourth Proportional to 21,442.76, 32,170.83 and 10,347.54

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Solution

The fourth proportional to 21,442.76, 32,170.83 and 10,347.54 is: 15,524.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,442.76 : 32,170.83 = 10,347.54 : x
  2. Step 2: Convert to fraction form
    21,442.76/32,170.83 = 10,347.54/x
  3. Step 3: Cross multiply
    21,442.76x = 32,170.83 × 10,347.54
  4. Step 4: Simplify right side
    21,442.76x = 332,888,950.26
  5. Step 5: Solve for x
    x = 332,888,950.26/21,442.76
  6. Step 6: Final answer
    x = 15,524.54

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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.