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Finding the Fourth Proportional to 13,277.52, 18,322.94 and 7,309.31

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Solution

The fourth proportional to 13,277.52, 18,322.94 and 7,309.31 is: 10,086.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,277.52 : 18,322.94 = 7,309.31 : x
  2. Step 2: Convert to fraction form
    13,277.52/18,322.94 = 7,309.31/x
  3. Step 3: Cross multiply
    13,277.52x = 18,322.94 × 7,309.31
  4. Step 4: Simplify right side
    13,277.52x = 133,927,975.23
  5. Step 5: Solve for x
    x = 133,927,975.23/13,277.52
  6. Step 6: Final answer
    x = 10,086.82

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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.