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Finding the Fourth Proportional to 21,431.01, 32,148 and 6,637.98

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Solution

The fourth proportional to 21,431.01, 32,148 and 6,637.98 is: 9,957.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,431.01 : 32,148 = 6,637.98 : x
  2. Step 2: Convert to fraction form
    21,431.01/32,148 = 6,637.98/x
  3. Step 3: Cross multiply
    21,431.01x = 32,148 × 6,637.98
  4. Step 4: Simplify right side
    21,431.01x = 213,397,781.04
  5. Step 5: Solve for x
    x = 213,397,781.04/21,431.01
  6. Step 6: Final answer
    x = 9,957.43

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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.