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Finding the Fourth Proportional to 13,503.11, 18,631.29 and 7,834.57

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Solution

The fourth proportional to 13,503.11, 18,631.29 and 7,834.57 is: 10,809.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.11 : 18,631.29 = 7,834.57 : x
  2. Step 2: Convert to fraction form
    13,503.11/18,631.29 = 7,834.57/x
  3. Step 3: Cross multiply
    13,503.11x = 18,631.29 × 7,834.57
  4. Step 4: Simplify right side
    13,503.11x = 145,968,013.37
  5. Step 5: Solve for x
    x = 145,968,013.37/13,503.11
  6. Step 6: Final answer
    x = 10,809.96

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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.