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Finding the Fourth Proportional to 23,021.62, 31,767.62 and 14,078.15

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Solution

The fourth proportional to 23,021.62, 31,767.62 and 14,078.15 is: 19,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,021.62 : 31,767.62 = 14,078.15 : x
  2. Step 2: Convert to fraction form
    23,021.62/31,767.62 = 14,078.15/x
  3. Step 3: Cross multiply
    23,021.62x = 31,767.62 × 14,078.15
  4. Step 4: Simplify right side
    23,021.62x = 447,229,427.69
  5. Step 5: Solve for x
    x = 447,229,427.69/23,021.62
  6. Step 6: Final answer
    x = 19,426.50

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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.