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Finding the Fourth Proportional to 21,145.86, 31,651.83 and 14,876.82

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Solution

The fourth proportional to 21,145.86, 31,651.83 and 14,876.82 is: 22,268.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,145.86 : 31,651.83 = 14,876.82 : x
  2. Step 2: Convert to fraction form
    21,145.86/31,651.83 = 14,876.82/x
  3. Step 3: Cross multiply
    21,145.86x = 31,651.83 × 14,876.82
  4. Step 4: Simplify right side
    21,145.86x = 470,878,577.58
  5. Step 5: Solve for x
    x = 470,878,577.58/21,145.86
  6. Step 6: Final answer
    x = 22,268.12

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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.