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Finding the Fourth Proportional to 22,967.10, 31,698.03 and 14,019.78

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Solution

The fourth proportional to 22,967.10, 31,698.03 and 14,019.78 is: 19,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,967.10 : 31,698.03 = 14,019.78 : x
  2. Step 2: Convert to fraction form
    22,967.10/31,698.03 = 14,019.78/x
  3. Step 3: Cross multiply
    22,967.10x = 31,698.03 × 14,019.78
  4. Step 4: Simplify right side
    22,967.10x = 444,399,407.03
  5. Step 5: Solve for x
    x = 444,399,407.03/22,967.10
  6. Step 6: Final answer
    x = 19,349.39

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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.