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Finding the Fourth Proportional to 19,977.40, 27,578.79 and 12,426.16

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Solution

The fourth proportional to 19,977.40, 27,578.79 and 12,426.16 is: 17,154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,977.40 : 27,578.79 = 12,426.16 : x
  2. Step 2: Convert to fraction form
    19,977.40/27,578.79 = 12,426.16/x
  3. Step 3: Cross multiply
    19,977.40x = 27,578.79 × 12,426.16
  4. Step 4: Simplify right side
    19,977.40x = 342,698,388.20
  5. Step 5: Solve for x
    x = 342,698,388.20/19,977.40
  6. Step 6: Final answer
    x = 17,154.31

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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.