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Finding the Fourth Proportional to 13,921.30, 19,214.92 and 7,956.50

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Solution

The fourth proportional to 13,921.30, 19,214.92 and 7,956.50 is: 10,981.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,921.30 : 19,214.92 = 7,956.50 : x
  2. Step 2: Convert to fraction form
    13,921.30/19,214.92 = 7,956.50/x
  3. Step 3: Cross multiply
    13,921.30x = 19,214.92 × 7,956.50
  4. Step 4: Simplify right side
    13,921.30x = 152,883,424.85
  5. Step 5: Solve for x
    x = 152,883,424.85/13,921.30
  6. Step 6: Final answer
    x = 10,981.98

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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.