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Finding the Fourth Proportional to 21,411.64, 32,111.70 and 5,825.56

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Solution

The fourth proportional to 21,411.64, 32,111.70 and 5,825.56 is: 8,736.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,411.64 : 32,111.70 = 5,825.56 : x
  2. Step 2: Convert to fraction form
    21,411.64/32,111.70 = 5,825.56/x
  3. Step 3: Cross multiply
    21,411.64x = 32,111.70 × 5,825.56
  4. Step 4: Simplify right side
    21,411.64x = 187,068,635.05
  5. Step 5: Solve for x
    x = 187,068,635.05/21,411.64
  6. Step 6: Final answer
    x = 8,736.77

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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.