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Finding the Fourth Proportional to 13,545.77, 20,303.06 and 5,221.62

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Solution

The fourth proportional to 13,545.77, 20,303.06 and 5,221.62 is: 7,826.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,545.77 : 20,303.06 = 5,221.62 : x
  2. Step 2: Convert to fraction form
    13,545.77/20,303.06 = 5,221.62/x
  3. Step 3: Cross multiply
    13,545.77x = 20,303.06 × 5,221.62
  4. Step 4: Simplify right side
    13,545.77x = 106,014,838.05
  5. Step 5: Solve for x
    x = 106,014,838.05/13,545.77
  6. Step 6: Final answer
    x = 7,826.42

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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.