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Finding the Fourth Proportional to 18,094, 27,141 and 7,005.64

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Solution

The fourth proportional to 18,094, 27,141 and 7,005.64 is: 10,508.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,094 : 27,141 = 7,005.64 : x
  2. Step 2: Convert to fraction form
    18,094/27,141 = 7,005.64/x
  3. Step 3: Cross multiply
    18,094x = 27,141 × 7,005.64
  4. Step 4: Simplify right side
    18,094x = 190,140,075.24
  5. Step 5: Solve for x
    x = 190,140,075.24/18,094
  6. Step 6: Final answer
    x = 10,508.46

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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.