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Finding the Fourth Proportional to 24,209.94, 33,406.08 and 13,597.54

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Solution

The fourth proportional to 24,209.94, 33,406.08 and 13,597.54 is: 18,762.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,209.94 : 33,406.08 = 13,597.54 : x
  2. Step 2: Convert to fraction form
    24,209.94/33,406.08 = 13,597.54/x
  3. Step 3: Cross multiply
    24,209.94x = 33,406.08 × 13,597.54
  4. Step 4: Simplify right side
    24,209.94x = 454,240,509.04
  5. Step 5: Solve for x
    x = 454,240,509.04/24,209.94
  6. Step 6: Final answer
    x = 18,762.56

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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.