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Finding the Fourth Proportional to 22,493.82, 31,031.10 and 14,538.60

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Solution

The fourth proportional to 22,493.82, 31,031.10 and 14,538.60 is: 20,056.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,493.82 : 31,031.10 = 14,538.60 : x
  2. Step 2: Convert to fraction form
    22,493.82/31,031.10 = 14,538.60/x
  3. Step 3: Cross multiply
    22,493.82x = 31,031.10 × 14,538.60
  4. Step 4: Simplify right side
    22,493.82x = 451,148,750.46
  5. Step 5: Solve for x
    x = 451,148,750.46/22,493.82
  6. Step 6: Final answer
    x = 20,056.56

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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.