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Finding the Fourth Proportional to 13,430.70, 20,146.05 and 5,108.80

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Solution

The fourth proportional to 13,430.70, 20,146.05 and 5,108.80 is: 7,663.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.70 : 20,146.05 = 5,108.80 : x
  2. Step 2: Convert to fraction form
    13,430.70/20,146.05 = 5,108.80/x
  3. Step 3: Cross multiply
    13,430.70x = 20,146.05 × 5,108.80
  4. Step 4: Simplify right side
    13,430.70x = 102,922,013.97
  5. Step 5: Solve for x
    x = 102,922,013.97/13,430.70
  6. Step 6: Final answer
    x = 7,663.19

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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.