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Finding the Fourth Proportional to 21,470.64, 32,200.12 and 5,884.56

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Solution

The fourth proportional to 21,470.64, 32,200.12 and 5,884.56 is: 8,825.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,470.64 : 32,200.12 = 5,884.56 : x
  2. Step 2: Convert to fraction form
    21,470.64/32,200.12 = 5,884.56/x
  3. Step 3: Cross multiply
    21,470.64x = 32,200.12 × 5,884.56
  4. Step 4: Simplify right side
    21,470.64x = 189,483,538.15
  5. Step 5: Solve for x
    x = 189,483,538.15/21,470.64
  6. Step 6: Final answer
    x = 8,825.24

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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.