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Finding the Fourth Proportional to 13,881.48, 20,829.06 and 6,486.45

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Solution

The fourth proportional to 13,881.48, 20,829.06 and 6,486.45 is: 9,732.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,881.48 : 20,829.06 = 6,486.45 : x
  2. Step 2: Convert to fraction form
    13,881.48/20,829.06 = 6,486.45/x
  3. Step 3: Cross multiply
    13,881.48x = 20,829.06 × 6,486.45
  4. Step 4: Simplify right side
    13,881.48x = 135,106,656.24
  5. Step 5: Solve for x
    x = 135,106,656.24/13,881.48
  6. Step 6: Final answer
    x = 9,732.87

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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.