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Finding the Fourth Proportional to 27,066, 40,605.48 and 8,598

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Solution

The fourth proportional to 27,066, 40,605.48 and 8,598 is: 12,899.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,066 : 40,605.48 = 8,598 : x
  2. Step 2: Convert to fraction form
    27,066/40,605.48 = 8,598/x
  3. Step 3: Cross multiply
    27,066x = 40,605.48 × 8,598
  4. Step 4: Simplify right side
    27,066x = 349,125,917.04
  5. Step 5: Solve for x
    x = 349,125,917.04/27,066
  6. Step 6: Final answer
    x = 12,899.06

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Why These Related Problems?

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