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Finding the Fourth Proportional to 14,111.92, 19,473 and 7,822.96

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Solution

The fourth proportional to 14,111.92, 19,473 and 7,822.96 is: 10,794.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,111.92 : 19,473 = 7,822.96 : x
  2. Step 2: Convert to fraction form
    14,111.92/19,473 = 7,822.96/x
  3. Step 3: Cross multiply
    14,111.92x = 19,473 × 7,822.96
  4. Step 4: Simplify right side
    14,111.92x = 152,336,500.08
  5. Step 5: Solve for x
    x = 152,336,500.08/14,111.92
  6. Step 6: Final answer
    x = 10,794.88

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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.