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Finding the Fourth Proportional to 13,924.40, 19,213.90 and 7,956.45

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Solution

The fourth proportional to 13,924.40, 19,213.90 and 7,956.45 is: 10,978.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924.40 : 19,213.90 = 7,956.45 : x
  2. Step 2: Convert to fraction form
    13,924.40/19,213.90 = 7,956.45/x
  3. Step 3: Cross multiply
    13,924.40x = 19,213.90 × 7,956.45
  4. Step 4: Simplify right side
    13,924.40x = 152,874,414.76
  5. Step 5: Solve for x
    x = 152,874,414.76/13,924.40
  6. Step 6: Final answer
    x = 10,978.89

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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.