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Finding the Fourth Proportional to 13,564.86, 20,346.89 and 13,195.50

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Solution

The fourth proportional to 13,564.86, 20,346.89 and 13,195.50 is: 19,792.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.86 : 20,346.89 = 13,195.50 : x
  2. Step 2: Convert to fraction form
    13,564.86/20,346.89 = 13,195.50/x
  3. Step 3: Cross multiply
    13,564.86x = 20,346.89 × 13,195.50
  4. Step 4: Simplify right side
    13,564.86x = 268,487,321.02
  5. Step 5: Solve for x
    x = 268,487,321.02/13,564.86
  6. Step 6: Final answer
    x = 19,792.86

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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.