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Finding the Fourth Proportional to 13,394.41, 20,085.64 and 6,376.43

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Solution

The fourth proportional to 13,394.41, 20,085.64 and 6,376.43 is: 9,561.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,394.41 : 20,085.64 = 6,376.43 : x
  2. Step 2: Convert to fraction form
    13,394.41/20,085.64 = 6,376.43/x
  3. Step 3: Cross multiply
    13,394.41x = 20,085.64 × 6,376.43
  4. Step 4: Simplify right side
    13,394.41x = 128,074,677.47
  5. Step 5: Solve for x
    x = 128,074,677.47/13,394.41
  6. Step 6: Final answer
    x = 9,561.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.