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Finding the Fourth Proportional to 21,077.46, 31,605.78 and 7,032.66

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Solution

The fourth proportional to 21,077.46, 31,605.78 and 7,032.66 is: 10,545.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,077.46 : 31,605.78 = 7,032.66 : x
  2. Step 2: Convert to fraction form
    21,077.46/31,605.78 = 7,032.66/x
  3. Step 3: Cross multiply
    21,077.46x = 31,605.78 × 7,032.66
  4. Step 4: Simplify right side
    21,077.46x = 222,272,704.77
  5. Step 5: Solve for x
    x = 222,272,704.77/21,077.46
  6. Step 6: Final answer
    x = 10,545.52

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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.