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Finding the Fourth Proportional to 21,622.68, 32,435.91 and 6,827.76

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Solution

The fourth proportional to 21,622.68, 32,435.91 and 6,827.76 is: 10,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,622.68 : 32,435.91 = 6,827.76 : x
  2. Step 2: Convert to fraction form
    21,622.68/32,435.91 = 6,827.76/x
  3. Step 3: Cross multiply
    21,622.68x = 32,435.91 × 6,827.76
  4. Step 4: Simplify right side
    21,622.68x = 221,464,608.86
  5. Step 5: Solve for x
    x = 221,464,608.86/21,622.68
  6. Step 6: Final answer
    x = 10,242.24

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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.