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Finding the Fourth Proportional to 21,658.65, 32,491.28 and 5,864.19

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Solution

The fourth proportional to 21,658.65, 32,491.28 and 5,864.19 is: 8,797.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,658.65 : 32,491.28 = 5,864.19 : x
  2. Step 2: Convert to fraction form
    21,658.65/32,491.28 = 5,864.19/x
  3. Step 3: Cross multiply
    21,658.65x = 32,491.28 × 5,864.19
  4. Step 4: Simplify right side
    21,658.65x = 190,535,039.26
  5. Step 5: Solve for x
    x = 190,535,039.26/21,658.65
  6. Step 6: Final answer
    x = 8,797.18

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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.