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Finding the Fourth Proportional to 13,436.96, 18,544.38 and 7,772

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Solution

The fourth proportional to 13,436.96, 18,544.38 and 7,772 is: 10,726.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,436.96 : 18,544.38 = 7,772 : x
  2. Step 2: Convert to fraction form
    13,436.96/18,544.38 = 7,772/x
  3. Step 3: Cross multiply
    13,436.96x = 18,544.38 × 7,772
  4. Step 4: Simplify right side
    13,436.96x = 144,126,921.36
  5. Step 5: Solve for x
    x = 144,126,921.36/13,436.96
  6. Step 6: Final answer
    x = 10,726.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.