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Finding the Fourth Proportional to 14,713.41, 20,290.59 and 9,399

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Solution

The fourth proportional to 14,713.41, 20,290.59 and 9,399 is: 12,961.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,713.41 : 20,290.59 = 9,399 : x
  2. Step 2: Convert to fraction form
    14,713.41/20,290.59 = 9,399/x
  3. Step 3: Cross multiply
    14,713.41x = 20,290.59 × 9,399
  4. Step 4: Simplify right side
    14,713.41x = 190,711,255.41
  5. Step 5: Solve for x
    x = 190,711,255.41/14,713.41
  6. Step 6: Final answer
    x = 12,961.73

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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.