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Finding the Fourth Proportional to 14,557.68, 21,837.93 and 5,790.66

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Solution

The fourth proportional to 14,557.68, 21,837.93 and 5,790.66 is: 8,686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,557.68 : 21,837.93 = 5,790.66 : x
  2. Step 2: Convert to fraction form
    14,557.68/21,837.93 = 5,790.66/x
  3. Step 3: Cross multiply
    14,557.68x = 21,837.93 × 5,790.66
  4. Step 4: Simplify right side
    14,557.68x = 126,456,027.73
  5. Step 5: Solve for x
    x = 126,456,027.73/14,557.68
  6. Step 6: Final answer
    x = 8,686.55

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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.