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Finding the Fourth Proportional to 22,646.25, 31,251.83 and 13,214.88

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Solution

The fourth proportional to 22,646.25, 31,251.83 and 13,214.88 is: 18,236.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,646.25 : 31,251.83 = 13,214.88 : x
  2. Step 2: Convert to fraction form
    22,646.25/31,251.83 = 13,214.88/x
  3. Step 3: Cross multiply
    22,646.25x = 31,251.83 × 13,214.88
  4. Step 4: Simplify right side
    22,646.25x = 412,989,117.16
  5. Step 5: Solve for x
    x = 412,989,117.16/22,646.25
  6. Step 6: Final answer
    x = 18,236.53

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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.