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Finding the Fourth Proportional to 21,193.96, 31,768.02 and 9,337.16

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Solution

The fourth proportional to 21,193.96, 31,768.02 and 9,337.16 is: 13,995.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,193.96 : 31,768.02 = 9,337.16 : x
  2. Step 2: Convert to fraction form
    21,193.96/31,768.02 = 9,337.16/x
  3. Step 3: Cross multiply
    21,193.96x = 31,768.02 × 9,337.16
  4. Step 4: Simplify right side
    21,193.96x = 296,623,085.62
  5. Step 5: Solve for x
    x = 296,623,085.62/21,193.96
  6. Step 6: Final answer
    x = 13,995.64

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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.