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Finding the Fourth Proportional to 22,846.68, 31,519.14 and 14,886

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Solution

The fourth proportional to 22,846.68, 31,519.14 and 14,886 is: 20,536.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846.68 : 31,519.14 = 14,886 : x
  2. Step 2: Convert to fraction form
    22,846.68/31,519.14 = 14,886/x
  3. Step 3: Cross multiply
    22,846.68x = 31,519.14 × 14,886
  4. Step 4: Simplify right side
    22,846.68x = 469,193,918.04
  5. Step 5: Solve for x
    x = 469,193,918.04/22,846.68
  6. Step 6: Final answer
    x = 20,536.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.