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Finding the Fourth Proportional to 13,923.68, 19,215.06 and 7,956.32

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Solution

The fourth proportional to 13,923.68, 19,215.06 and 7,956.32 is: 10,979.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,923.68 : 19,215.06 = 7,956.32 : x
  2. Step 2: Convert to fraction form
    13,923.68/19,215.06 = 7,956.32/x
  3. Step 3: Cross multiply
    13,923.68x = 19,215.06 × 7,956.32
  4. Step 4: Simplify right side
    13,923.68x = 152,881,166.18
  5. Step 5: Solve for x
    x = 152,881,166.18/13,923.68
  6. Step 6: Final answer
    x = 10,979.94

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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.