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Finding the Fourth Proportional to 12,277.43, 16,942.41 and 7,505.37

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Solution

The fourth proportional to 12,277.43, 16,942.41 and 7,505.37 is: 10,357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.43 : 16,942.41 = 7,505.37 : x
  2. Step 2: Convert to fraction form
    12,277.43/16,942.41 = 7,505.37/x
  3. Step 3: Cross multiply
    12,277.43x = 16,942.41 × 7,505.37
  4. Step 4: Simplify right side
    12,277.43x = 127,159,055.74
  5. Step 5: Solve for x
    x = 127,159,055.74/12,277.43
  6. Step 6: Final answer
    x = 10,357.14

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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.