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Finding the Fourth Proportional to 13,302.30, 19,958.16 and 5,906.10

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Solution

The fourth proportional to 13,302.30, 19,958.16 and 5,906.10 is: 8,861.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,302.30 : 19,958.16 = 5,906.10 : x
  2. Step 2: Convert to fraction form
    13,302.30/19,958.16 = 5,906.10/x
  3. Step 3: Cross multiply
    13,302.30x = 19,958.16 × 5,906.10
  4. Step 4: Simplify right side
    13,302.30x = 117,874,888.78
  5. Step 5: Solve for x
    x = 117,874,888.78/13,302.30
  6. Step 6: Final answer
    x = 8,861.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.