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Finding the Fourth Proportional to 24,384.54, 33,650.64 and 13,206.54

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Solution

The fourth proportional to 24,384.54, 33,650.64 and 13,206.54 is: 18,225.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384.54 : 33,650.64 = 13,206.54 : x
  2. Step 2: Convert to fraction form
    24,384.54/33,650.64 = 13,206.54/x
  3. Step 3: Cross multiply
    24,384.54x = 33,650.64 × 13,206.54
  4. Step 4: Simplify right side
    24,384.54x = 444,408,523.19
  5. Step 5: Solve for x
    x = 444,408,523.19/24,384.54
  6. Step 6: Final answer
    x = 18,225.01

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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.