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Finding the Fourth Proportional to 17,674.02, 24,380.01 and 11,038.50

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Solution

The fourth proportional to 17,674.02, 24,380.01 and 11,038.50 is: 15,226.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,674.02 : 24,380.01 = 11,038.50 : x
  2. Step 2: Convert to fraction form
    17,674.02/24,380.01 = 11,038.50/x
  3. Step 3: Cross multiply
    17,674.02x = 24,380.01 × 11,038.50
  4. Step 4: Simplify right side
    17,674.02x = 269,118,740.39
  5. Step 5: Solve for x
    x = 269,118,740.39/17,674.02
  6. Step 6: Final answer
    x = 15,226.80

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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.