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Finding the Fourth Proportional to 13,923.48, 19,214.18 and 7,873.64

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Solution

The fourth proportional to 13,923.48, 19,214.18 and 7,873.64 is: 10,865.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,923.48 : 19,214.18 = 7,873.64 : x
  2. Step 2: Convert to fraction form
    13,923.48/19,214.18 = 7,873.64/x
  3. Step 3: Cross multiply
    13,923.48x = 19,214.18 × 7,873.64
  4. Step 4: Simplify right side
    13,923.48x = 151,285,502.36
  5. Step 5: Solve for x
    x = 151,285,502.36/13,923.48
  6. Step 6: Final answer
    x = 10,865.49

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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.