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Finding the Fourth Proportional to 13,422.96, 20,144.52 and 5,108.76

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Solution

The fourth proportional to 13,422.96, 20,144.52 and 5,108.76 is: 7,666.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.96 : 20,144.52 = 5,108.76 : x
  2. Step 2: Convert to fraction form
    13,422.96/20,144.52 = 5,108.76/x
  3. Step 3: Cross multiply
    13,422.96x = 20,144.52 × 5,108.76
  4. Step 4: Simplify right side
    13,422.96x = 102,913,518.00
  5. Step 5: Solve for x
    x = 102,913,518.00/13,422.96
  6. Step 6: Final answer
    x = 7,666.98

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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.