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Finding the Fourth Proportional to 13,211.64, 19,826.03 and 5,722.52

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Solution

The fourth proportional to 13,211.64, 19,826.03 and 5,722.52 is: 8,587.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.64 : 19,826.03 = 5,722.52 : x
  2. Step 2: Convert to fraction form
    13,211.64/19,826.03 = 5,722.52/x
  3. Step 3: Cross multiply
    13,211.64x = 19,826.03 × 5,722.52
  4. Step 4: Simplify right side
    13,211.64x = 113,454,768.37
  5. Step 5: Solve for x
    x = 113,454,768.37/13,211.64
  6. Step 6: Final answer
    x = 8,587.49

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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.