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Finding the Fourth Proportional to 18,376.32, 27,568.64 and 6,064

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Solution

The fourth proportional to 18,376.32, 27,568.64 and 6,064 is: 9,097.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,376.32 : 27,568.64 = 6,064 : x
  2. Step 2: Convert to fraction form
    18,376.32/27,568.64 = 6,064/x
  3. Step 3: Cross multiply
    18,376.32x = 27,568.64 × 6,064
  4. Step 4: Simplify right side
    18,376.32x = 167,176,232.96
  5. Step 5: Solve for x
    x = 167,176,232.96/18,376.32
  6. Step 6: Final answer
    x = 9,097.37

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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.