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Finding the Fourth Proportional to 18,219, 25,137.90 and 10,259.64

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Solution

The fourth proportional to 18,219, 25,137.90 and 10,259.64 is: 14,155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,219 : 25,137.90 = 10,259.64 : x
  2. Step 2: Convert to fraction form
    18,219/25,137.90 = 10,259.64/x
  3. Step 3: Cross multiply
    18,219x = 25,137.90 × 10,259.64
  4. Step 4: Simplify right side
    18,219x = 257,905,804.36
  5. Step 5: Solve for x
    x = 257,905,804.36/18,219
  6. Step 6: Final answer
    x = 14,155.87

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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.