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Finding the Fourth Proportional to 27,920.79, 41,887.31 and 9,200.07

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Solution

The fourth proportional to 27,920.79, 41,887.31 and 9,200.07 is: 13,802.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,920.79 : 41,887.31 = 9,200.07 : x
  2. Step 2: Convert to fraction form
    27,920.79/41,887.31 = 9,200.07/x
  3. Step 3: Cross multiply
    27,920.79x = 41,887.31 × 9,200.07
  4. Step 4: Simplify right side
    27,920.79x = 385,366,138.11
  5. Step 5: Solve for x
    x = 385,366,138.11/27,920.79
  6. Step 6: Final answer
    x = 13,802.12

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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.