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Finding the Fourth Proportional to 23,702.08, 35,544.91 and 13,188.09

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Solution

The fourth proportional to 23,702.08, 35,544.91 and 13,188.09 is: 19,777.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,702.08 : 35,544.91 = 13,188.09 : x
  2. Step 2: Convert to fraction form
    23,702.08/35,544.91 = 13,188.09/x
  3. Step 3: Cross multiply
    23,702.08x = 35,544.91 × 13,188.09
  4. Step 4: Simplify right side
    23,702.08x = 468,769,472.12
  5. Step 5: Solve for x
    x = 468,769,472.12/23,702.08
  6. Step 6: Final answer
    x = 19,777.57

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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.