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Finding the Fourth Proportional to 24,483.27, 33,784 and 14,409.48

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Solution

The fourth proportional to 24,483.27, 33,784 and 14,409.48 is: 19,883.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,483.27 : 33,784 = 14,409.48 : x
  2. Step 2: Convert to fraction form
    24,483.27/33,784 = 14,409.48/x
  3. Step 3: Cross multiply
    24,483.27x = 33,784 × 14,409.48
  4. Step 4: Simplify right side
    24,483.27x = 486,809,872.32
  5. Step 5: Solve for x
    x = 486,809,872.32/24,483.27
  6. Step 6: Final answer
    x = 19,883.37

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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.