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Finding the Fourth Proportional to 22,992.48, 31,729.68 and 13,056.48

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Solution

The fourth proportional to 22,992.48, 31,729.68 and 13,056.48 is: 18,017.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,992.48 : 31,729.68 = 13,056.48 : x
  2. Step 2: Convert to fraction form
    22,992.48/31,729.68 = 13,056.48/x
  3. Step 3: Cross multiply
    22,992.48x = 31,729.68 × 13,056.48
  4. Step 4: Simplify right side
    22,992.48x = 414,277,932.33
  5. Step 5: Solve for x
    x = 414,277,932.33/22,992.48
  6. Step 6: Final answer
    x = 18,017.98

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1.5x scale

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.