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Finding the Fourth Proportional to 18,384.90, 27,577.41 and 6,698.10

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Solution

The fourth proportional to 18,384.90, 27,577.41 and 6,698.10 is: 10,047.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,384.90 : 27,577.41 = 6,698.10 : x
  2. Step 2: Convert to fraction form
    18,384.90/27,577.41 = 6,698.10/x
  3. Step 3: Cross multiply
    18,384.90x = 27,577.41 × 6,698.10
  4. Step 4: Simplify right side
    18,384.90x = 184,716,249.92
  5. Step 5: Solve for x
    x = 184,716,249.92/18,384.90
  6. Step 6: Final answer
    x = 10,047.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.