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Finding the Fourth Proportional to 21,162.90, 31,721.96 and 7,827.32

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Solution

The fourth proportional to 21,162.90, 31,721.96 and 7,827.32 is: 11,732.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,162.90 : 31,721.96 = 7,827.32 : x
  2. Step 2: Convert to fraction form
    21,162.90/31,721.96 = 7,827.32/x
  3. Step 3: Cross multiply
    21,162.90x = 31,721.96 × 7,827.32
  4. Step 4: Simplify right side
    21,162.90x = 248,297,931.95
  5. Step 5: Solve for x
    x = 248,297,931.95/21,162.90
  6. Step 6: Final answer
    x = 11,732.70

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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.