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Finding the Fourth Proportional to 21,077.87, 31,632.36 and 9,984.54

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Solution

The fourth proportional to 21,077.87, 31,632.36 and 9,984.54 is: 14,984.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,077.87 : 31,632.36 = 9,984.54 : x
  2. Step 2: Convert to fraction form
    21,077.87/31,632.36 = 9,984.54/x
  3. Step 3: Cross multiply
    21,077.87x = 31,632.36 × 9,984.54
  4. Step 4: Simplify right side
    21,077.87x = 315,834,563.71
  5. Step 5: Solve for x
    x = 315,834,563.71/21,077.87
  6. Step 6: Final answer
    x = 14,984.18

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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.