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Finding the Fourth Proportional to 27,378.84, 40,994.10 and 14,203.62

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Solution

The fourth proportional to 27,378.84, 40,994.10 and 14,203.62 is: 21,266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,378.84 : 40,994.10 = 14,203.62 : x
  2. Step 2: Convert to fraction form
    27,378.84/40,994.10 = 14,203.62/x
  3. Step 3: Cross multiply
    27,378.84x = 40,994.10 × 14,203.62
  4. Step 4: Simplify right side
    27,378.84x = 582,264,618.64
  5. Step 5: Solve for x
    x = 582,264,618.64/27,378.84
  6. Step 6: Final answer
    x = 21,266.96

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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.