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Finding the Fourth Proportional to 23,813.70, 32,861.58 and 13,058.57

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Solution

The fourth proportional to 23,813.70, 32,861.58 and 13,058.57 is: 18,020.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813.70 : 32,861.58 = 13,058.57 : x
  2. Step 2: Convert to fraction form
    23,813.70/32,861.58 = 13,058.57/x
  3. Step 3: Cross multiply
    23,813.70x = 32,861.58 × 13,058.57
  4. Step 4: Simplify right side
    23,813.70x = 429,125,078.43
  5. Step 5: Solve for x
    x = 429,125,078.43/23,813.70
  6. Step 6: Final answer
    x = 18,020.09

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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.