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Finding the Fourth Proportional to 21,597.24, 32,395.86 and 6,014.82

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Solution

The fourth proportional to 21,597.24, 32,395.86 and 6,014.82 is: 9,022.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,597.24 : 32,395.86 = 6,014.82 : x
  2. Step 2: Convert to fraction form
    21,597.24/32,395.86 = 6,014.82/x
  3. Step 3: Cross multiply
    21,597.24x = 32,395.86 × 6,014.82
  4. Step 4: Simplify right side
    21,597.24x = 194,855,266.65
  5. Step 5: Solve for x
    x = 194,855,266.65/21,597.24
  6. Step 6: Final answer
    x = 9,022.23

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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.