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Finding the Fourth Proportional to 13,508.70, 18,641.52 and 8,475.63

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Solution

The fourth proportional to 13,508.70, 18,641.52 and 8,475.63 is: 11,696.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508.70 : 18,641.52 = 8,475.63 : x
  2. Step 2: Convert to fraction form
    13,508.70/18,641.52 = 8,475.63/x
  3. Step 3: Cross multiply
    13,508.70x = 18,641.52 × 8,475.63
  4. Step 4: Simplify right side
    13,508.70x = 157,998,626.16
  5. Step 5: Solve for x
    x = 157,998,626.16/13,508.70
  6. Step 6: Final answer
    x = 11,696.06

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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.