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Finding the Fourth Proportional to 13,205.19, 18,223.16 and 7,616.19

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Solution

The fourth proportional to 13,205.19, 18,223.16 and 7,616.19 is: 10,510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.19 : 18,223.16 = 7,616.19 : x
  2. Step 2: Convert to fraction form
    13,205.19/18,223.16 = 7,616.19/x
  3. Step 3: Cross multiply
    13,205.19x = 18,223.16 × 7,616.19
  4. Step 4: Simplify right side
    13,205.19x = 138,791,048.96
  5. Step 5: Solve for x
    x = 138,791,048.96/13,205.19
  6. Step 6: Final answer
    x = 10,510.34

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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.