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Finding the Fourth Proportional to 18,361.50, 27,533.25 and 5,878.32

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Solution

The fourth proportional to 18,361.50, 27,533.25 and 5,878.32 is: 8,814.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,361.50 : 27,533.25 = 5,878.32 : x
  2. Step 2: Convert to fraction form
    18,361.50/27,533.25 = 5,878.32/x
  3. Step 3: Cross multiply
    18,361.50x = 27,533.25 × 5,878.32
  4. Step 4: Simplify right side
    18,361.50x = 161,849,254.14
  5. Step 5: Solve for x
    x = 161,849,254.14/18,361.50
  6. Step 6: Final answer
    x = 8,814.60

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Why These Related Problems?

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