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Finding the Fourth Proportional to 18,603, 25,672.14 and 10,219.50

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Solution

The fourth proportional to 18,603, 25,672.14 and 10,219.50 is: 14,102.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,603 : 25,672.14 = 10,219.50 : x
  2. Step 2: Convert to fraction form
    18,603/25,672.14 = 10,219.50/x
  3. Step 3: Cross multiply
    18,603x = 25,672.14 × 10,219.50
  4. Step 4: Simplify right side
    18,603x = 262,356,434.73
  5. Step 5: Solve for x
    x = 262,356,434.73/18,603
  6. Step 6: Final answer
    x = 14,102.91

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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.