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Finding the Fourth Proportional to 13,430.64, 20,145.90 and 5,108.70

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Solution

The fourth proportional to 13,430.64, 20,145.90 and 5,108.70 is: 7,663.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.64 : 20,145.90 = 5,108.70 : x
  2. Step 2: Convert to fraction form
    13,430.64/20,145.90 = 5,108.70/x
  3. Step 3: Cross multiply
    13,430.64x = 20,145.90 × 5,108.70
  4. Step 4: Simplify right side
    13,430.64x = 102,919,359.33
  5. Step 5: Solve for x
    x = 102,919,359.33/13,430.64
  6. Step 6: Final answer
    x = 7,663.03

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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.