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Finding the Fourth Proportional to 21,428.27, 32,134.86 and 6,430.91

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Solution

The fourth proportional to 21,428.27, 32,134.86 and 6,430.91 is: 9,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,428.27 : 32,134.86 = 6,430.91 : x
  2. Step 2: Convert to fraction form
    21,428.27/32,134.86 = 6,430.91/x
  3. Step 3: Cross multiply
    21,428.27x = 32,134.86 × 6,430.91
  4. Step 4: Simplify right side
    21,428.27x = 206,656,231.85
  5. Step 5: Solve for x
    x = 206,656,231.85/21,428.27
  6. Step 6: Final answer
    x = 9,644.10

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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.