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Finding the Fourth Proportional to 21,463.71, 32,190.63 and 5,882.55

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Solution

The fourth proportional to 21,463.71, 32,190.63 and 5,882.55 is: 8,822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,463.71 : 32,190.63 = 5,882.55 : x
  2. Step 2: Convert to fraction form
    21,463.71/32,190.63 = 5,882.55/x
  3. Step 3: Cross multiply
    21,463.71x = 32,190.63 × 5,882.55
  4. Step 4: Simplify right side
    21,463.71x = 189,362,990.51
  5. Step 5: Solve for x
    x = 189,362,990.51/21,463.71
  6. Step 6: Final answer
    x = 8,822.47

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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.