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Finding the Fourth Proportional to 14,713.41, 20,302.74 and 8,340.75

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Solution

The fourth proportional to 14,713.41, 20,302.74 and 8,340.75 is: 11,509.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,713.41 : 20,302.74 = 8,340.75 : x
  2. Step 2: Convert to fraction form
    14,713.41/20,302.74 = 8,340.75/x
  3. Step 3: Cross multiply
    14,713.41x = 20,302.74 × 8,340.75
  4. Step 4: Simplify right side
    14,713.41x = 169,340,078.66
  5. Step 5: Solve for x
    x = 169,340,078.66/14,713.41
  6. Step 6: Final answer
    x = 11,509.23

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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.