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Finding the Fourth Proportional to 13,503.34, 18,631.62 and 7,834.81

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Solution

The fourth proportional to 13,503.34, 18,631.62 and 7,834.81 is: 10,810.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.34 : 18,631.62 = 7,834.81 : x
  2. Step 2: Convert to fraction form
    13,503.34/18,631.62 = 7,834.81/x
  3. Step 3: Cross multiply
    13,503.34x = 18,631.62 × 7,834.81
  4. Step 4: Simplify right side
    13,503.34x = 145,975,109.53
  5. Step 5: Solve for x
    x = 145,975,109.53/13,503.34
  6. Step 6: Final answer
    x = 10,810.30

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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.