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Finding the Fourth Proportional to 19,578.50, 27,040.76 and 12,894

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Solution

The fourth proportional to 19,578.50, 27,040.76 and 12,894 is: 17,808.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,578.50 : 27,040.76 = 12,894 : x
  2. Step 2: Convert to fraction form
    19,578.50/27,040.76 = 12,894/x
  3. Step 3: Cross multiply
    19,578.50x = 27,040.76 × 12,894
  4. Step 4: Simplify right side
    19,578.50x = 348,663,559.44
  5. Step 5: Solve for x
    x = 348,663,559.44/19,578.50
  6. Step 6: Final answer
    x = 17,808.49

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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.