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Finding the Fourth Proportional to 19,477.92, 29,218.56 and 11,736

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Solution

The fourth proportional to 19,477.92, 29,218.56 and 11,736 is: 17,605.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,477.92 : 29,218.56 = 11,736 : x
  2. Step 2: Convert to fraction form
    19,477.92/29,218.56 = 11,736/x
  3. Step 3: Cross multiply
    19,477.92x = 29,218.56 × 11,736
  4. Step 4: Simplify right side
    19,477.92x = 342,909,020.16
  5. Step 5: Solve for x
    x = 342,909,020.16/19,477.92
  6. Step 6: Final answer
    x = 17,605.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.