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Finding the Fourth Proportional to 13,496.08, 18,627 and 7,834.40

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Solution

The fourth proportional to 13,496.08, 18,627 and 7,834.40 is: 10,812.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496.08 : 18,627 = 7,834.40 : x
  2. Step 2: Convert to fraction form
    13,496.08/18,627 = 7,834.40/x
  3. Step 3: Cross multiply
    13,496.08x = 18,627 × 7,834.40
  4. Step 4: Simplify right side
    13,496.08x = 145,931,368.80
  5. Step 5: Solve for x
    x = 145,931,368.80/13,496.08
  6. Step 6: Final answer
    x = 10,812.87

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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.