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Finding the Fourth Proportional to 19,578.74, 27,041.10 and 12,894.26

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Solution

The fourth proportional to 19,578.74, 27,041.10 and 12,894.26 is: 17,808.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,578.74 : 27,041.10 = 12,894.26 : x
  2. Step 2: Convert to fraction form
    19,578.74/27,041.10 = 12,894.26/x
  3. Step 3: Cross multiply
    19,578.74x = 27,041.10 × 12,894.26
  4. Step 4: Simplify right side
    19,578.74x = 348,674,974.09
  5. Step 5: Solve for x
    x = 348,674,974.09/19,578.74
  6. Step 6: Final answer
    x = 17,808.86

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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.