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Finding the Fourth Proportional to 13,430.54, 20,145.72 and 5,222.54

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Solution

The fourth proportional to 13,430.54, 20,145.72 and 5,222.54 is: 7,833.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.54 : 20,145.72 = 5,222.54 : x
  2. Step 2: Convert to fraction form
    13,430.54/20,145.72 = 5,222.54/x
  3. Step 3: Cross multiply
    13,430.54x = 20,145.72 × 5,222.54
  4. Step 4: Simplify right side
    13,430.54x = 105,211,828.53
  5. Step 5: Solve for x
    x = 105,211,828.53/13,430.54
  6. Step 6: Final answer
    x = 7,833.78

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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.