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Finding the Fourth Proportional to 12,477.12, 17,227.68 and 7,763.52

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Solution

The fourth proportional to 12,477.12, 17,227.68 and 7,763.52 is: 10,719.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.12 : 17,227.68 = 7,763.52 : x
  2. Step 2: Convert to fraction form
    12,477.12/17,227.68 = 7,763.52/x
  3. Step 3: Cross multiply
    12,477.12x = 17,227.68 × 7,763.52
  4. Step 4: Simplify right side
    12,477.12x = 133,747,438.23
  5. Step 5: Solve for x
    x = 133,747,438.23/12,477.12
  6. Step 6: Final answer
    x = 10,719.42

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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.