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Finding the Fourth Proportional to 13,929.89, 20,883.89 and 9,534.02

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Solution

The fourth proportional to 13,929.89, 20,883.89 and 9,534.02 is: 14,293.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,929.89 : 20,883.89 = 9,534.02 : x
  2. Step 2: Convert to fraction form
    13,929.89/20,883.89 = 9,534.02/x
  3. Step 3: Cross multiply
    13,929.89x = 20,883.89 × 9,534.02
  4. Step 4: Simplify right side
    13,929.89x = 199,107,424.94
  5. Step 5: Solve for x
    x = 199,107,424.94/13,929.89
  6. Step 6: Final answer
    x = 14,293.54

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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.