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Finding the Fourth Proportional to 27,924.35, 41,895.63 and 8,203.07

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Solution

The fourth proportional to 27,924.35, 41,895.63 and 8,203.07 is: 12,307.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,924.35 : 41,895.63 = 8,203.07 : x
  2. Step 2: Convert to fraction form
    27,924.35/41,895.63 = 8,203.07/x
  3. Step 3: Cross multiply
    27,924.35x = 41,895.63 × 8,203.07
  4. Step 4: Simplify right side
    27,924.35x = 343,672,890.32
  5. Step 5: Solve for x
    x = 343,672,890.32/27,924.35
  6. Step 6: Final answer
    x = 12,307.29

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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.