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Finding the Fourth Proportional to 22,662.11, 31,268.06 and 13,588.90

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Solution

The fourth proportional to 22,662.11, 31,268.06 and 13,588.90 is: 18,749.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,662.11 : 31,268.06 = 13,588.90 : x
  2. Step 2: Convert to fraction form
    22,662.11/31,268.06 = 13,588.90/x
  3. Step 3: Cross multiply
    22,662.11x = 31,268.06 × 13,588.90
  4. Step 4: Simplify right side
    22,662.11x = 424,898,445.38
  5. Step 5: Solve for x
    x = 424,898,445.38/22,662.11
  6. Step 6: Final answer
    x = 18,749.29

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Why These Related Problems?

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