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Finding the Fourth Proportional to 13,927.99, 19,222 and 7,960.51

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Solution

The fourth proportional to 13,927.99, 19,222 and 7,960.51 is: 10,986.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,927.99 : 19,222 = 7,960.51 : x
  2. Step 2: Convert to fraction form
    13,927.99/19,222 = 7,960.51/x
  3. Step 3: Cross multiply
    13,927.99x = 19,222 × 7,960.51
  4. Step 4: Simplify right side
    13,927.99x = 153,016,923.22
  5. Step 5: Solve for x
    x = 153,016,923.22/13,927.99
  6. Step 6: Final answer
    x = 10,986.29

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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.