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Finding the Fourth Proportional to 18,532.54, 27,804 and 7,447.01

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Solution

The fourth proportional to 18,532.54, 27,804 and 7,447.01 is: 11,172.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,532.54 : 27,804 = 7,447.01 : x
  2. Step 2: Convert to fraction form
    18,532.54/27,804 = 7,447.01/x
  3. Step 3: Cross multiply
    18,532.54x = 27,804 × 7,447.01
  4. Step 4: Simplify right side
    18,532.54x = 207,056,666.04
  5. Step 5: Solve for x
    x = 207,056,666.04/18,532.54
  6. Step 6: Final answer
    x = 11,172.60

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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.