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Finding the Fourth Proportional to 22,932.54, 31,652.54 and 13,984.98

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Solution

The fourth proportional to 22,932.54, 31,652.54 and 13,984.98 is: 19,302.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,932.54 : 31,652.54 = 13,984.98 : x
  2. Step 2: Convert to fraction form
    22,932.54/31,652.54 = 13,984.98/x
  3. Step 3: Cross multiply
    22,932.54x = 31,652.54 × 13,984.98
  4. Step 4: Simplify right side
    22,932.54x = 442,660,138.85
  5. Step 5: Solve for x
    x = 442,660,138.85/22,932.54
  6. Step 6: Final answer
    x = 19,302.71

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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.