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Finding the Fourth Proportional to 27,730.75, 41,577.93 and 9,952.49

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Solution

The fourth proportional to 27,730.75, 41,577.93 and 9,952.49 is: 14,922.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,730.75 : 41,577.93 = 9,952.49 : x
  2. Step 2: Convert to fraction form
    27,730.75/41,577.93 = 9,952.49/x
  3. Step 3: Cross multiply
    27,730.75x = 41,577.93 × 9,952.49
  4. Step 4: Simplify right side
    27,730.75x = 413,803,932.55
  5. Step 5: Solve for x
    x = 413,803,932.55/27,730.75
  6. Step 6: Final answer
    x = 14,922.20

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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.