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Finding the Fourth Proportional to 14,185.84, 19,578.66 and 8,523.74

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Solution

The fourth proportional to 14,185.84, 19,578.66 and 8,523.74 is: 11,764.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,185.84 : 19,578.66 = 8,523.74 : x
  2. Step 2: Convert to fraction form
    14,185.84/19,578.66 = 8,523.74/x
  3. Step 3: Cross multiply
    14,185.84x = 19,578.66 × 8,523.74
  4. Step 4: Simplify right side
    14,185.84x = 166,883,407.39
  5. Step 5: Solve for x
    x = 166,883,407.39/14,185.84
  6. Step 6: Final answer
    x = 11,764.08

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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.