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Finding the Fourth Proportional to 23,930.91, 33,019.65 and 14,497.65

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Solution

The fourth proportional to 23,930.91, 33,019.65 and 14,497.65 is: 20,003.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,930.91 : 33,019.65 = 14,497.65 : x
  2. Step 2: Convert to fraction form
    23,930.91/33,019.65 = 14,497.65/x
  3. Step 3: Cross multiply
    23,930.91x = 33,019.65 × 14,497.65
  4. Step 4: Simplify right side
    23,930.91x = 478,707,328.82
  5. Step 5: Solve for x
    x = 478,707,328.82/23,930.91
  6. Step 6: Final answer
    x = 20,003.72

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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.