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Finding the Fourth Proportional to 13,928.76, 19,221.42 and 7,878.93

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Solution

The fourth proportional to 13,928.76, 19,221.42 and 7,878.93 is: 10,872.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,928.76 : 19,221.42 = 7,878.93 : x
  2. Step 2: Convert to fraction form
    13,928.76/19,221.42 = 7,878.93/x
  3. Step 3: Cross multiply
    13,928.76x = 19,221.42 × 7,878.93
  4. Step 4: Simplify right side
    13,928.76x = 151,444,222.68
  5. Step 5: Solve for x
    x = 151,444,222.68/13,928.76
  6. Step 6: Final answer
    x = 10,872.77

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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.