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Finding the Fourth Proportional to 13,402.36, 18,496.38 and 7,813.72

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Solution

The fourth proportional to 13,402.36, 18,496.38 and 7,813.72 is: 10,783.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.36 : 18,496.38 = 7,813.72 : x
  2. Step 2: Convert to fraction form
    13,402.36/18,496.38 = 7,813.72/x
  3. Step 3: Cross multiply
    13,402.36x = 18,496.38 × 7,813.72
  4. Step 4: Simplify right side
    13,402.36x = 144,525,534.33
  5. Step 5: Solve for x
    x = 144,525,534.33/13,402.36
  6. Step 6: Final answer
    x = 10,783.59

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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.