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Finding the Fourth Proportional to 21,430.86, 32,147.82 and 6,637.88

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Solution

The fourth proportional to 21,430.86, 32,147.82 and 6,637.88 is: 9,957.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,430.86 : 32,147.82 = 6,637.88 : x
  2. Step 2: Convert to fraction form
    21,430.86/32,147.82 = 6,637.88/x
  3. Step 3: Cross multiply
    21,430.86x = 32,147.82 × 6,637.88
  4. Step 4: Simplify right side
    21,430.86x = 213,393,371.42
  5. Step 5: Solve for x
    x = 213,393,371.42/21,430.86
  6. Step 6: Final answer
    x = 9,957.29

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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.