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Finding the Fourth Proportional to 21,462.71, 32,189.14 and 5,881.55

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Solution

The fourth proportional to 21,462.71, 32,189.14 and 5,881.55 is: 8,820.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,462.71 : 32,189.14 = 5,881.55 : x
  2. Step 2: Convert to fraction form
    21,462.71/32,189.14 = 5,881.55/x
  3. Step 3: Cross multiply
    21,462.71x = 32,189.14 × 5,881.55
  4. Step 4: Simplify right side
    21,462.71x = 189,322,036.37
  5. Step 5: Solve for x
    x = 189,322,036.37/21,462.71
  6. Step 6: Final answer
    x = 8,820.98

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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.