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Finding the Fourth Proportional to 18,697.49, 25,803.02 and 10,199.75

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Solution

The fourth proportional to 18,697.49, 25,803.02 and 10,199.75 is: 14,075.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,697.49 : 25,803.02 = 10,199.75 : x
  2. Step 2: Convert to fraction form
    18,697.49/25,803.02 = 10,199.75/x
  3. Step 3: Cross multiply
    18,697.49x = 25,803.02 × 10,199.75
  4. Step 4: Simplify right side
    18,697.49x = 263,184,353.25
  5. Step 5: Solve for x
    x = 263,184,353.25/18,697.49
  6. Step 6: Final answer
    x = 14,075.92

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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.