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Finding the Fourth Proportional to 18,208.68, 25,129.25 and 10,142.98

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Solution

The fourth proportional to 18,208.68, 25,129.25 and 10,142.98 is: 13,998.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,208.68 : 25,129.25 = 10,142.98 : x
  2. Step 2: Convert to fraction form
    18,208.68/25,129.25 = 10,142.98/x
  3. Step 3: Cross multiply
    18,208.68x = 25,129.25 × 10,142.98
  4. Step 4: Simplify right side
    18,208.68x = 254,885,442.70
  5. Step 5: Solve for x
    x = 254,885,442.70/18,208.68
  6. Step 6: Final answer
    x = 13,998.02

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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.