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Finding the Fourth Proportional to 13,718.25, 18,932.00 and 7,749.77

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Solution

The fourth proportional to 13,718.25, 18,932.00 and 7,749.77 is: 10,695.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.25 : 18,932.00 = 7,749.77 : x
  2. Step 2: Convert to fraction form
    13,718.25/18,932.00 = 7,749.77/x
  3. Step 3: Cross multiply
    13,718.25x = 18,932.00 × 7,749.77
  4. Step 4: Simplify right side
    13,718.25x = 146,718,512.23
  5. Step 5: Solve for x
    x = 146,718,512.23/13,718.25
  6. Step 6: Final answer
    x = 10,695.13

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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.