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Finding the Fourth Proportional to 22,036, 33,002.16 and 16,852

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Solution

The fourth proportional to 22,036, 33,002.16 and 16,852 is: 25,238.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,036 : 33,002.16 = 16,852 : x
  2. Step 2: Convert to fraction form
    22,036/33,002.16 = 16,852/x
  3. Step 3: Cross multiply
    22,036x = 33,002.16 × 16,852
  4. Step 4: Simplify right side
    22,036x = 556,152,400.32
  5. Step 5: Solve for x
    x = 556,152,400.32/22,036
  6. Step 6: Final answer
    x = 25,238.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.