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Finding the Fourth Proportional to 22,130.75, 30,536.87 and 13,178.03

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Solution

The fourth proportional to 22,130.75, 30,536.87 and 13,178.03 is: 18,183.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,130.75 : 30,536.87 = 13,178.03 : x
  2. Step 2: Convert to fraction form
    22,130.75/30,536.87 = 13,178.03/x
  3. Step 3: Cross multiply
    22,130.75x = 30,536.87 × 13,178.03
  4. Step 4: Simplify right side
    22,130.75x = 402,415,570.39
  5. Step 5: Solve for x
    x = 402,415,570.39/22,130.75
  6. Step 6: Final answer
    x = 18,183.55

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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.