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Finding the Fourth Proportional to 13,421.90, 18,522.06 and 7,453.55

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Solution

The fourth proportional to 13,421.90, 18,522.06 and 7,453.55 is: 10,285.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,421.90 : 18,522.06 = 7,453.55 : x
  2. Step 2: Convert to fraction form
    13,421.90/18,522.06 = 7,453.55/x
  3. Step 3: Cross multiply
    13,421.90x = 18,522.06 × 7,453.55
  4. Step 4: Simplify right side
    13,421.90x = 138,055,100.31
  5. Step 5: Solve for x
    x = 138,055,100.31/13,421.90
  6. Step 6: Final answer
    x = 10,285.81

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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.