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Finding the Fourth Proportional to 18,448.74, 27,687.86 and 9,566.60

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Solution

The fourth proportional to 18,448.74, 27,687.86 and 9,566.60 is: 14,357.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,448.74 : 27,687.86 = 9,566.60 : x
  2. Step 2: Convert to fraction form
    18,448.74/27,687.86 = 9,566.60/x
  3. Step 3: Cross multiply
    18,448.74x = 27,687.86 × 9,566.60
  4. Step 4: Simplify right side
    18,448.74x = 264,878,495.20
  5. Step 5: Solve for x
    x = 264,878,495.20/18,448.74
  6. Step 6: Final answer
    x = 14,357.54

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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.