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Finding the Fourth Proportional to 22,992.72, 31,733.16 and 13,435.76

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Solution

The fourth proportional to 22,992.72, 31,733.16 and 13,435.76 is: 18,543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,992.72 : 31,733.16 = 13,435.76 : x
  2. Step 2: Convert to fraction form
    22,992.72/31,733.16 = 13,435.76/x
  3. Step 3: Cross multiply
    22,992.72x = 31,733.16 × 13,435.76
  4. Step 4: Simplify right side
    22,992.72x = 426,359,121.80
  5. Step 5: Solve for x
    x = 426,359,121.80/22,992.72
  6. Step 6: Final answer
    x = 18,543.22

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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.