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Finding the Fourth Proportional to 21,166.05, 31,726.67 and 7,830.48

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Solution

The fourth proportional to 21,166.05, 31,726.67 and 7,830.48 is: 11,737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,166.05 : 31,726.67 = 7,830.48 : x
  2. Step 2: Convert to fraction form
    21,166.05/31,726.67 = 7,830.48/x
  3. Step 3: Cross multiply
    21,166.05x = 31,726.67 × 7,830.48
  4. Step 4: Simplify right side
    21,166.05x = 248,435,054.90
  5. Step 5: Solve for x
    x = 248,435,054.90/21,166.05
  6. Step 6: Final answer
    x = 11,737.43

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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.