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Finding the Fourth Proportional to 16,361.12, 22,571.16 and 11,054

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Solution

The fourth proportional to 16,361.12, 22,571.16 and 11,054 is: 15,249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,361.12 : 22,571.16 = 11,054 : x
  2. Step 2: Convert to fraction form
    16,361.12/22,571.16 = 11,054/x
  3. Step 3: Cross multiply
    16,361.12x = 22,571.16 × 11,054
  4. Step 4: Simplify right side
    16,361.12x = 249,501,602.64
  5. Step 5: Solve for x
    x = 249,501,602.64/16,361.12
  6. Step 6: Final answer
    x = 15,249.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.