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Finding the Fourth Proportional to 19,782.60, 27,271.56 and 14,107.49

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Solution

The fourth proportional to 19,782.60, 27,271.56 and 14,107.49 is: 19,448.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.60 : 27,271.56 = 14,107.49 : x
  2. Step 2: Convert to fraction form
    19,782.60/27,271.56 = 14,107.49/x
  3. Step 3: Cross multiply
    19,782.60x = 27,271.56 × 14,107.49
  4. Step 4: Simplify right side
    19,782.60x = 384,733,259.98
  5. Step 5: Solve for x
    x = 384,733,259.98/19,782.60
  6. Step 6: Final answer
    x = 19,448.06

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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.