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Finding the Fourth Proportional to 10,297.86, 14,119.34 and 10,199.44

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Solution

The fourth proportional to 10,297.86, 14,119.34 and 10,199.44 is: 13,984.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.86 : 14,119.34 = 10,199.44 : x
  2. Step 2: Convert to fraction form
    10,297.86/14,119.34 = 10,199.44/x
  3. Step 3: Cross multiply
    10,297.86x = 14,119.34 × 10,199.44
  4. Step 4: Simplify right side
    10,297.86x = 144,009,361.17
  5. Step 5: Solve for x
    x = 144,009,361.17/10,297.86
  6. Step 6: Final answer
    x = 13,984.40

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.