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Finding the Fourth Proportional to 21,027.72, 31,523.16 and 9,937.62

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Solution

The fourth proportional to 21,027.72, 31,523.16 and 9,937.62 is: 14,897.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,027.72 : 31,523.16 = 9,937.62 : x
  2. Step 2: Convert to fraction form
    21,027.72/31,523.16 = 9,937.62/x
  3. Step 3: Cross multiply
    21,027.72x = 31,523.16 × 9,937.62
  4. Step 4: Simplify right side
    21,027.72x = 313,265,185.28
  5. Step 5: Solve for x
    x = 313,265,185.28/21,027.72
  6. Step 6: Final answer
    x = 14,897.72

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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.