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Finding the Fourth Proportional to 19,782.40, 27,290.36 and 12,226.10

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Solution

The fourth proportional to 19,782.40, 27,290.36 and 12,226.10 is: 16,866.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.40 : 27,290.36 = 12,226.10 : x
  2. Step 2: Convert to fraction form
    19,782.40/27,290.36 = 12,226.10/x
  3. Step 3: Cross multiply
    19,782.40x = 27,290.36 × 12,226.10
  4. Step 4: Simplify right side
    19,782.40x = 333,654,670.40
  5. Step 5: Solve for x
    x = 333,654,670.40/19,782.40
  6. Step 6: Final answer
    x = 16,866.24

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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.