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Finding the Fourth Proportional to 12,522.75, 18,767.97 and 9,378.06

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Solution

The fourth proportional to 12,522.75, 18,767.97 and 9,378.06 is: 14,054.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,522.75 : 18,767.97 = 9,378.06 : x
  2. Step 2: Convert to fraction form
    12,522.75/18,767.97 = 9,378.06/x
  3. Step 3: Cross multiply
    12,522.75x = 18,767.97 × 9,378.06
  4. Step 4: Simplify right side
    12,522.75x = 176,007,148.74
  5. Step 5: Solve for x
    x = 176,007,148.74/12,522.75
  6. Step 6: Final answer
    x = 14,054.99

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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.