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Finding the Fourth Proportional to 13,674.41, 20,511.71 and 4,909.40

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Solution

The fourth proportional to 13,674.41, 20,511.71 and 4,909.40 is: 7,364.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.41 : 20,511.71 = 4,909.40 : x
  2. Step 2: Convert to fraction form
    13,674.41/20,511.71 = 4,909.40/x
  3. Step 3: Cross multiply
    13,674.41x = 20,511.71 × 4,909.40
  4. Step 4: Simplify right side
    13,674.41x = 100,700,061.97
  5. Step 5: Solve for x
    x = 100,700,061.97/13,674.41
  6. Step 6: Final answer
    x = 7,364.13

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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.