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Finding the Fourth Proportional to 22,544.78, 31,111.34 and 12,473.64

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Solution

The fourth proportional to 22,544.78, 31,111.34 and 12,473.64 is: 17,213.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,544.78 : 31,111.34 = 12,473.64 : x
  2. Step 2: Convert to fraction form
    22,544.78/31,111.34 = 12,473.64/x
  3. Step 3: Cross multiply
    22,544.78x = 31,111.34 × 12,473.64
  4. Step 4: Simplify right side
    22,544.78x = 388,071,592.71
  5. Step 5: Solve for x
    x = 388,071,592.71/22,544.78
  6. Step 6: Final answer
    x = 17,213.37

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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.