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Finding the Fourth Proportional to 13,430.80, 20,141.42 and 5,108.60

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Solution

The fourth proportional to 13,430.80, 20,141.42 and 5,108.60 is: 7,661.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.80 : 20,141.42 = 5,108.60 : x
  2. Step 2: Convert to fraction form
    13,430.80/20,141.42 = 5,108.60/x
  3. Step 3: Cross multiply
    13,430.80x = 20,141.42 × 5,108.60
  4. Step 4: Simplify right side
    13,430.80x = 102,894,458.21
  5. Step 5: Solve for x
    x = 102,894,458.21/13,430.80
  6. Step 6: Final answer
    x = 7,661.08

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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.