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Finding the Fourth Proportional to 13,374.47, 20,064.47 and 4,014.11

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Solution

The fourth proportional to 13,374.47, 20,064.47 and 4,014.11 is: 6,021.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,374.47 : 20,064.47 = 4,014.11 : x
  2. Step 2: Convert to fraction form
    13,374.47/20,064.47 = 4,014.11/x
  3. Step 3: Cross multiply
    13,374.47x = 20,064.47 × 4,014.11
  4. Step 4: Simplify right side
    13,374.47x = 80,540,869.28
  5. Step 5: Solve for x
    x = 80,540,869.28/13,374.47
  6. Step 6: Final answer
    x = 6,021.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.