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Finding the Fourth Proportional to 18,580.48, 27,878.54 and 11,566.36

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Solution

The fourth proportional to 18,580.48, 27,878.54 and 11,566.36 is: 17,354.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,580.48 : 27,878.54 = 11,566.36 : x
  2. Step 2: Convert to fraction form
    18,580.48/27,878.54 = 11,566.36/x
  3. Step 3: Cross multiply
    18,580.48x = 27,878.54 × 11,566.36
  4. Step 4: Simplify right side
    18,580.48x = 322,453,206.93
  5. Step 5: Solve for x
    x = 322,453,206.93/18,580.48
  6. Step 6: Final answer
    x = 17,354.41

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