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Finding the Fourth Proportional to 18,782.16, 25,891.78 and 14,298.10

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Solution

The fourth proportional to 18,782.16, 25,891.78 and 14,298.10 is: 19,710.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,782.16 : 25,891.78 = 14,298.10 : x
  2. Step 2: Convert to fraction form
    18,782.16/25,891.78 = 14,298.10/x
  3. Step 3: Cross multiply
    18,782.16x = 25,891.78 × 14,298.10
  4. Step 4: Simplify right side
    18,782.16x = 370,203,259.62
  5. Step 5: Solve for x
    x = 370,203,259.62/18,782.16
  6. Step 6: Final answer
    x = 19,710.37

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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.