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Finding the Fourth Proportional to 21,284.81, 31,894.39 and 13,477.22

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Solution

The fourth proportional to 21,284.81, 31,894.39 and 13,477.22 is: 20,195.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,284.81 : 31,894.39 = 13,477.22 : x
  2. Step 2: Convert to fraction form
    21,284.81/31,894.39 = 13,477.22/x
  3. Step 3: Cross multiply
    21,284.81x = 31,894.39 × 13,477.22
  4. Step 4: Simplify right side
    21,284.81x = 429,847,687.77
  5. Step 5: Solve for x
    x = 429,847,687.77/21,284.81
  6. Step 6: Final answer
    x = 20,195.05

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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.