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Finding the Fourth Proportional to 21,077.40, 31,631.69 and 9,984.12

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Solution

The fourth proportional to 21,077.40, 31,631.69 and 9,984.12 is: 14,983.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,077.40 : 31,631.69 = 9,984.12 : x
  2. Step 2: Convert to fraction form
    21,077.40/31,631.69 = 9,984.12/x
  3. Step 3: Cross multiply
    21,077.40x = 31,631.69 × 9,984.12
  4. Step 4: Simplify right side
    21,077.40x = 315,814,430.60
  5. Step 5: Solve for x
    x = 315,814,430.60/21,077.40
  6. Step 6: Final answer
    x = 14,983.56

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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.