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Finding the Fourth Proportional to 13,081.13, 18,052.23 and 7,113.21

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Solution

The fourth proportional to 13,081.13, 18,052.23 and 7,113.21 is: 9,816.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,081.13 : 18,052.23 = 7,113.21 : x
  2. Step 2: Convert to fraction form
    13,081.13/18,052.23 = 7,113.21/x
  3. Step 3: Cross multiply
    13,081.13x = 18,052.23 × 7,113.21
  4. Step 4: Simplify right side
    13,081.13x = 128,409,302.96
  5. Step 5: Solve for x
    x = 128,409,302.96/13,081.13
  6. Step 6: Final answer
    x = 9,816.38

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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.