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Finding the Fourth Proportional to 21,366.65, 32,049.98 and 5,785.49

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Solution

The fourth proportional to 21,366.65, 32,049.98 and 5,785.49 is: 8,678.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,366.65 : 32,049.98 = 5,785.49 : x
  2. Step 2: Convert to fraction form
    21,366.65/32,049.98 = 5,785.49/x
  3. Step 3: Cross multiply
    21,366.65x = 32,049.98 × 5,785.49
  4. Step 4: Simplify right side
    21,366.65x = 185,424,911.68
  5. Step 5: Solve for x
    x = 185,424,911.68/21,366.65
  6. Step 6: Final answer
    x = 8,678.24

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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.