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Finding the Fourth Proportional to 27,864.72, 41,797.08 and 14,004

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Solution

The fourth proportional to 27,864.72, 41,797.08 and 14,004 is: 21,006

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,864.72 : 41,797.08 = 14,004 : x
  2. Step 2: Convert to fraction form
    27,864.72/41,797.08 = 14,004/x
  3. Step 3: Cross multiply
    27,864.72x = 41,797.08 × 14,004
  4. Step 4: Simplify right side
    27,864.72x = 585,326,308.32
  5. Step 5: Solve for x
    x = 585,326,308.32/27,864.72
  6. Step 6: Final answer
    x = 21,006

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.