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Finding the Fourth Proportional to 13,406.34, 20,102.99 and 4,044.60

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Solution

The fourth proportional to 13,406.34, 20,102.99 and 4,044.60 is: 6,064.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.34 : 20,102.99 = 4,044.60 : x
  2. Step 2: Convert to fraction form
    13,406.34/20,102.99 = 4,044.60/x
  3. Step 3: Cross multiply
    13,406.34x = 20,102.99 × 4,044.60
  4. Step 4: Simplify right side
    13,406.34x = 81,308,533.13
  5. Step 5: Solve for x
    x = 81,308,533.13/13,406.34
  6. Step 6: Final answer
    x = 6,064.93

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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.