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Finding the Fourth Proportional to 20,314.16, 30,475.06 and 9,221.63

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Solution

The fourth proportional to 20,314.16, 30,475.06 and 9,221.63 is: 13,834.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,314.16 : 30,475.06 = 9,221.63 : x
  2. Step 2: Convert to fraction form
    20,314.16/30,475.06 = 9,221.63/x
  3. Step 3: Cross multiply
    20,314.16x = 30,475.06 × 9,221.63
  4. Step 4: Simplify right side
    20,314.16x = 281,029,605.25
  5. Step 5: Solve for x
    x = 281,029,605.25/20,314.16
  6. Step 6: Final answer
    x = 13,834.17

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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.