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Finding the Fourth Proportional to 21,077.42, 31,631.70 and 9,984.15

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Solution

The fourth proportional to 21,077.42, 31,631.70 and 9,984.15 is: 14,983.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,077.42 : 31,631.70 = 9,984.15 : x
  2. Step 2: Convert to fraction form
    21,077.42/31,631.70 = 9,984.15/x
  3. Step 3: Cross multiply
    21,077.42x = 31,631.70 × 9,984.15
  4. Step 4: Simplify right side
    21,077.42x = 315,815,637.56
  5. Step 5: Solve for x
    x = 315,815,637.56/21,077.42
  6. Step 6: Final answer
    x = 14,983.60

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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.