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Finding the Fourth Proportional to 13,914.48, 20,865.48 and 10,002.52

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Solution

The fourth proportional to 13,914.48, 20,865.48 and 10,002.52 is: 14,999.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.48 : 20,865.48 = 10,002.52 : x
  2. Step 2: Convert to fraction form
    13,914.48/20,865.48 = 10,002.52/x
  3. Step 3: Cross multiply
    13,914.48x = 20,865.48 × 10,002.52
  4. Step 4: Simplify right side
    13,914.48x = 208,707,381.01
  5. Step 5: Solve for x
    x = 208,707,381.01/13,914.48
  6. Step 6: Final answer
    x = 14,999.29

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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.