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Finding the Fourth Proportional to 19,477.92, 26,882 and 12,769.20

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Solution

The fourth proportional to 19,477.92, 26,882 and 12,769.20 is: 17,623.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,477.92 : 26,882 = 12,769.20 : x
  2. Step 2: Convert to fraction form
    19,477.92/26,882 = 12,769.20/x
  3. Step 3: Cross multiply
    19,477.92x = 26,882 × 12,769.20
  4. Step 4: Simplify right side
    19,477.92x = 343,261,634.40
  5. Step 5: Solve for x
    x = 343,261,634.40/19,477.92
  6. Step 6: Final answer
    x = 17,623.12

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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.