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Finding the Fourth Proportional to 13,565.53, 20,361.45 and 6,550.50

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Solution

The fourth proportional to 13,565.53, 20,361.45 and 6,550.50 is: 9,832.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,565.53 : 20,361.45 = 6,550.50 : x
  2. Step 2: Convert to fraction form
    13,565.53/20,361.45 = 6,550.50/x
  3. Step 3: Cross multiply
    13,565.53x = 20,361.45 × 6,550.50
  4. Step 4: Simplify right side
    13,565.53x = 133,377,678.23
  5. Step 5: Solve for x
    x = 133,377,678.23/13,565.53
  6. Step 6: Final answer
    x = 9,832.10

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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.