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Finding the Fourth Proportional to 13,713.79, 18,925.77 and 7,745.71

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Solution

The fourth proportional to 13,713.79, 18,925.77 and 7,745.71 is: 10,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.79 : 18,925.77 = 7,745.71 : x
  2. Step 2: Convert to fraction form
    13,713.79/18,925.77 = 7,745.71/x
  3. Step 3: Cross multiply
    13,713.79x = 18,925.77 × 7,745.71
  4. Step 4: Simplify right side
    13,713.79x = 146,593,525.95
  5. Step 5: Solve for x
    x = 146,593,525.95/13,713.79
  6. Step 6: Final answer
    x = 10,689.50

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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.