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Finding the Fourth Proportional to 13,421.83, 18,522.75 and 7,453.53

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Solution

The fourth proportional to 13,421.83, 18,522.75 and 7,453.53 is: 10,286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,421.83 : 18,522.75 = 7,453.53 : x
  2. Step 2: Convert to fraction form
    13,421.83/18,522.75 = 7,453.53/x
  3. Step 3: Cross multiply
    13,421.83x = 18,522.75 × 7,453.53
  4. Step 4: Simplify right side
    13,421.83x = 138,059,742.93
  5. Step 5: Solve for x
    x = 138,059,742.93/13,421.83
  6. Step 6: Final answer
    x = 10,286.21

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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.