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Finding the Fourth Proportional to 13,685.84, 20,513.70 and 5,364.30

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Solution

The fourth proportional to 13,685.84, 20,513.70 and 5,364.30 is: 8,040.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.84 : 20,513.70 = 5,364.30 : x
  2. Step 2: Convert to fraction form
    13,685.84/20,513.70 = 5,364.30/x
  3. Step 3: Cross multiply
    13,685.84x = 20,513.70 × 5,364.30
  4. Step 4: Simplify right side
    13,685.84x = 110,041,640.91
  5. Step 5: Solve for x
    x = 110,041,640.91/13,685.84
  6. Step 6: Final answer
    x = 8,040.55

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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.