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Finding the Fourth Proportional to 13,436.14, 20,157.62 and 7,894.16

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Solution

The fourth proportional to 13,436.14, 20,157.62 and 7,894.16 is: 11,843.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,436.14 : 20,157.62 = 7,894.16 : x
  2. Step 2: Convert to fraction form
    13,436.14/20,157.62 = 7,894.16/x
  3. Step 3: Cross multiply
    13,436.14x = 20,157.62 × 7,894.16
  4. Step 4: Simplify right side
    13,436.14x = 159,127,477.50
  5. Step 5: Solve for x
    x = 159,127,477.50/13,436.14
  6. Step 6: Final answer
    x = 11,843.24

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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.