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Finding the Fourth Proportional to 21,782.68, 30,055.50 and 14,240.11

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Solution

The fourth proportional to 21,782.68, 30,055.50 and 14,240.11 is: 19,648.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.68 : 30,055.50 = 14,240.11 : x
  2. Step 2: Convert to fraction form
    21,782.68/30,055.50 = 14,240.11/x
  3. Step 3: Cross multiply
    21,782.68x = 30,055.50 × 14,240.11
  4. Step 4: Simplify right side
    21,782.68x = 427,993,626.11
  5. Step 5: Solve for x
    x = 427,993,626.11/21,782.68
  6. Step 6: Final answer
    x = 19,648.35

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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.