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Finding the Fourth Proportional to 20,827.32, 31,253.12 and 8,345.22

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Solution

The fourth proportional to 20,827.32, 31,253.12 and 8,345.22 is: 12,522.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,827.32 : 31,253.12 = 8,345.22 : x
  2. Step 2: Convert to fraction form
    20,827.32/31,253.12 = 8,345.22/x
  3. Step 3: Cross multiply
    20,827.32x = 31,253.12 × 8,345.22
  4. Step 4: Simplify right side
    20,827.32x = 260,814,162.09
  5. Step 5: Solve for x
    x = 260,814,162.09/20,827.32
  6. Step 6: Final answer
    x = 12,522.69

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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.