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Finding the Fourth Proportional to 22,431.39, 30,955.32 and 13,005.42

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Solution

The fourth proportional to 22,431.39, 30,955.32 and 13,005.42 is: 17,947.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,431.39 : 30,955.32 = 13,005.42 : x
  2. Step 2: Convert to fraction form
    22,431.39/30,955.32 = 13,005.42/x
  3. Step 3: Cross multiply
    22,431.39x = 30,955.32 × 13,005.42
  4. Step 4: Simplify right side
    22,431.39x = 402,586,937.83
  5. Step 5: Solve for x
    x = 402,586,937.83/22,431.39
  6. Step 6: Final answer
    x = 17,947.48

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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.