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Finding the Fourth Proportional to 13,374.52, 20,064.98 and 4,140.52

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Solution

The fourth proportional to 13,374.52, 20,064.98 and 4,140.52 is: 6,211.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,374.52 : 20,064.98 = 4,140.52 : x
  2. Step 2: Convert to fraction form
    13,374.52/20,064.98 = 4,140.52/x
  3. Step 3: Cross multiply
    13,374.52x = 20,064.98 × 4,140.52
  4. Step 4: Simplify right side
    13,374.52x = 83,079,450.99
  5. Step 5: Solve for x
    x = 83,079,450.99/13,374.52
  6. Step 6: Final answer
    x = 6,211.77

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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.