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Finding the Fourth Proportional to 27,164.36, 37,485.24 and 15,225.50

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Solution

The fourth proportional to 27,164.36, 37,485.24 and 15,225.50 is: 21,010.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,164.36 : 37,485.24 = 15,225.50 : x
  2. Step 2: Convert to fraction form
    27,164.36/37,485.24 = 15,225.50/x
  3. Step 3: Cross multiply
    27,164.36x = 37,485.24 × 15,225.50
  4. Step 4: Simplify right side
    27,164.36x = 570,731,521.62
  5. Step 5: Solve for x
    x = 570,731,521.62/27,164.36
  6. Step 6: Final answer
    x = 21,010.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.