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Finding the Fourth Proportional to 13,012.23, 17,956.49 and 7,346.89

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Solution

The fourth proportional to 13,012.23, 17,956.49 and 7,346.89 is: 10,138.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.23 : 17,956.49 = 7,346.89 : x
  2. Step 2: Convert to fraction form
    13,012.23/17,956.49 = 7,346.89/x
  3. Step 3: Cross multiply
    13,012.23x = 17,956.49 × 7,346.89
  4. Step 4: Simplify right side
    13,012.23x = 131,924,342.53
  5. Step 5: Solve for x
    x = 131,924,342.53/13,012.23
  6. Step 6: Final answer
    x = 10,138.49

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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.