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Finding the Fourth Proportional to 22,652.68, 31,254.20 and 13,693.66

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Solution

The fourth proportional to 22,652.68, 31,254.20 and 13,693.66 is: 18,893.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,652.68 : 31,254.20 = 13,693.66 : x
  2. Step 2: Convert to fraction form
    22,652.68/31,254.20 = 13,693.66/x
  3. Step 3: Cross multiply
    22,652.68x = 31,254.20 × 13,693.66
  4. Step 4: Simplify right side
    22,652.68x = 427,984,388.37
  5. Step 5: Solve for x
    x = 427,984,388.37/22,652.68
  6. Step 6: Final answer
    x = 18,893.32

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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.