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Finding the Fourth Proportional to 23,159.85, 31,965.84 and 13,094.12

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Solution

The fourth proportional to 23,159.85, 31,965.84 and 13,094.12 is: 18,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,159.85 : 31,965.84 = 13,094.12 : x
  2. Step 2: Convert to fraction form
    23,159.85/31,965.84 = 13,094.12/x
  3. Step 3: Cross multiply
    23,159.85x = 31,965.84 × 13,094.12
  4. Step 4: Simplify right side
    23,159.85x = 418,564,385.03
  5. Step 5: Solve for x
    x = 418,564,385.03/23,159.85
  6. Step 6: Final answer
    x = 18,072.85

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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.