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Finding the Fourth Proportional to 23,117.80, 31,892.39 and 13,552.82

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Solution

The fourth proportional to 23,117.80, 31,892.39 and 13,552.82 is: 18,696.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,117.80 : 31,892.39 = 13,552.82 : x
  2. Step 2: Convert to fraction form
    23,117.80/31,892.39 = 13,552.82/x
  3. Step 3: Cross multiply
    23,117.80x = 31,892.39 × 13,552.82
  4. Step 4: Simplify right side
    23,117.80x = 432,231,883.83
  5. Step 5: Solve for x
    x = 432,231,883.83/23,117.80
  6. Step 6: Final answer
    x = 18,696.93

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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.