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Finding the Fourth Proportional to 13,722.72, 18,937.50 and 7,435.32

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Solution

The fourth proportional to 13,722.72, 18,937.50 and 7,435.32 is: 10,260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.72 : 18,937.50 = 7,435.32 : x
  2. Step 2: Convert to fraction form
    13,722.72/18,937.50 = 7,435.32/x
  3. Step 3: Cross multiply
    13,722.72x = 18,937.50 × 7,435.32
  4. Step 4: Simplify right side
    13,722.72x = 140,806,372.50
  5. Step 5: Solve for x
    x = 140,806,372.50/13,722.72
  6. Step 6: Final answer
    x = 10,260.82

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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.