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Finding the Fourth Proportional to 22,995, 31,733.10 and 13,059

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Solution

The fourth proportional to 22,995, 31,733.10 and 13,059 is: 18,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,995 : 31,733.10 = 13,059 : x
  2. Step 2: Convert to fraction form
    22,995/31,733.10 = 13,059/x
  3. Step 3: Cross multiply
    22,995x = 31,733.10 × 13,059
  4. Step 4: Simplify right side
    22,995x = 414,402,552.90
  5. Step 5: Solve for x
    x = 414,402,552.90/22,995
  6. Step 6: Final answer
    x = 18,021.42

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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.