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Finding the Fourth Proportional to 24,209.99, 33,409.69 and 13,454.81

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Solution

The fourth proportional to 24,209.99, 33,409.69 and 13,454.81 is: 18,567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,209.99 : 33,409.69 = 13,454.81 : x
  2. Step 2: Convert to fraction form
    24,209.99/33,409.69 = 13,454.81/x
  3. Step 3: Cross multiply
    24,209.99x = 33,409.69 × 13,454.81
  4. Step 4: Simplify right side
    24,209.99x = 449,521,031.11
  5. Step 5: Solve for x
    x = 449,521,031.11/24,209.99
  6. Step 6: Final answer
    x = 18,567.58

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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.