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Finding the Fourth Proportional to 21,345.08, 32,022.36 and 8,197.48

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Solution

The fourth proportional to 21,345.08, 32,022.36 and 8,197.48 is: 12,298.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,345.08 : 32,022.36 = 8,197.48 : x
  2. Step 2: Convert to fraction form
    21,345.08/32,022.36 = 8,197.48/x
  3. Step 3: Cross multiply
    21,345.08x = 32,022.36 × 8,197.48
  4. Step 4: Simplify right side
    21,345.08x = 262,502,655.65
  5. Step 5: Solve for x
    x = 262,502,655.65/21,345.08
  6. Step 6: Final answer
    x = 12,298.04

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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.