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Finding the Fourth Proportional to 22,967.24, 31,698.24 and 14,019.93

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Solution

The fourth proportional to 22,967.24, 31,698.24 and 14,019.93 is: 19,349.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,967.24 : 31,698.24 = 14,019.93 : x
  2. Step 2: Convert to fraction form
    22,967.24/31,698.24 = 14,019.93/x
  3. Step 3: Cross multiply
    22,967.24x = 31,698.24 × 14,019.93
  4. Step 4: Simplify right side
    22,967.24x = 444,407,105.92
  5. Step 5: Solve for x
    x = 444,407,105.92/22,967.24
  6. Step 6: Final answer
    x = 19,349.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.