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Finding the Fourth Proportional to 17,719.20, 24,448.08 and 11,424

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Solution

The fourth proportional to 17,719.20, 24,448.08 and 11,424 is: 15,762.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,719.20 : 24,448.08 = 11,424 : x
  2. Step 2: Convert to fraction form
    17,719.20/24,448.08 = 11,424/x
  3. Step 3: Cross multiply
    17,719.20x = 24,448.08 × 11,424
  4. Step 4: Simplify right side
    17,719.20x = 279,294,865.92
  5. Step 5: Solve for x
    x = 279,294,865.92/17,719.20
  6. Step 6: Final answer
    x = 15,762.27

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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.