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Finding the Fourth Proportional to 13,090.32, 19,638.72 and 5,696.10

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Solution

The fourth proportional to 13,090.32, 19,638.72 and 5,696.10 is: 8,545.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,090.32 : 19,638.72 = 5,696.10 : x
  2. Step 2: Convert to fraction form
    13,090.32/19,638.72 = 5,696.10/x
  3. Step 3: Cross multiply
    13,090.32x = 19,638.72 × 5,696.10
  4. Step 4: Simplify right side
    13,090.32x = 111,864,112.99
  5. Step 5: Solve for x
    x = 111,864,112.99/13,090.32
  6. Step 6: Final answer
    x = 8,545.56

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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.