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Finding the Fourth Proportional to 22,131.32, 30,530.40 and 13,175.96

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Solution

The fourth proportional to 22,131.32, 30,530.40 and 13,175.96 is: 18,176.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,131.32 : 30,530.40 = 13,175.96 : x
  2. Step 2: Convert to fraction form
    22,131.32/30,530.40 = 13,175.96/x
  3. Step 3: Cross multiply
    22,131.32x = 30,530.40 × 13,175.96
  4. Step 4: Simplify right side
    22,131.32x = 402,267,329.18
  5. Step 5: Solve for x
    x = 402,267,329.18/22,131.32
  6. Step 6: Final answer
    x = 18,176.38

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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.