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Finding the Fourth Proportional to 27,495.06, 41,247.81 and 9,478.50

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Solution

The fourth proportional to 27,495.06, 41,247.81 and 9,478.50 is: 14,219.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,495.06 : 41,247.81 = 9,478.50 : x
  2. Step 2: Convert to fraction form
    27,495.06/41,247.81 = 9,478.50/x
  3. Step 3: Cross multiply
    27,495.06x = 41,247.81 × 9,478.50
  4. Step 4: Simplify right side
    27,495.06x = 390,967,367.09
  5. Step 5: Solve for x
    x = 390,967,367.09/27,495.06
  6. Step 6: Final answer
    x = 14,219.55

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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.