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Finding the Fourth Proportional to 23,106.34, 31,884.08 and 13,034.94

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Solution

The fourth proportional to 23,106.34, 31,884.08 and 13,034.94 is: 17,986.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,106.34 : 31,884.08 = 13,034.94 : x
  2. Step 2: Convert to fraction form
    23,106.34/31,884.08 = 13,034.94/x
  3. Step 3: Cross multiply
    23,106.34x = 31,884.08 × 13,034.94
  4. Step 4: Simplify right side
    23,106.34x = 415,607,069.76
  5. Step 5: Solve for x
    x = 415,607,069.76/23,106.34
  6. Step 6: Final answer
    x = 17,986.71

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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.