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Finding the Fourth Proportional to 21,827.44, 32,743.58 and 7,790.74

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Solution

The fourth proportional to 21,827.44, 32,743.58 and 7,790.74 is: 11,686.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,827.44 : 32,743.58 = 7,790.74 : x
  2. Step 2: Convert to fraction form
    21,827.44/32,743.58 = 7,790.74/x
  3. Step 3: Cross multiply
    21,827.44x = 32,743.58 × 7,790.74
  4. Step 4: Simplify right side
    21,827.44x = 255,096,679.50
  5. Step 5: Solve for x
    x = 255,096,679.50/21,827.44
  6. Step 6: Final answer
    x = 11,686.97

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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.