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Finding the Fourth Proportional to 22,668.31, 31,279.87 and 13,106.67

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Solution

The fourth proportional to 22,668.31, 31,279.87 and 13,106.67 is: 18,085.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,668.31 : 31,279.87 = 13,106.67 : x
  2. Step 2: Convert to fraction form
    22,668.31/31,279.87 = 13,106.67/x
  3. Step 3: Cross multiply
    22,668.31x = 31,279.87 × 13,106.67
  4. Step 4: Simplify right side
    22,668.31x = 409,974,933.73
  5. Step 5: Solve for x
    x = 409,974,933.73/22,668.31
  6. Step 6: Final answer
    x = 18,085.82

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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.