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Finding the Fourth Proportional to 21,366.84, 32,047.83 and 5,785.68

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Solution

The fourth proportional to 21,366.84, 32,047.83 and 5,785.68 is: 8,677.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,366.84 : 32,047.83 = 5,785.68 : x
  2. Step 2: Convert to fraction form
    21,366.84/32,047.83 = 5,785.68/x
  3. Step 3: Cross multiply
    21,366.84x = 32,047.83 × 5,785.68
  4. Step 4: Simplify right side
    21,366.84x = 185,418,489.07
  5. Step 5: Solve for x
    x = 185,418,489.07/21,366.84
  6. Step 6: Final answer
    x = 8,677.86

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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.