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Finding the Fourth Proportional to 24,208.74, 33,406.02 and 14,775.48

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Solution

The fourth proportional to 24,208.74, 33,406.02 and 14,775.48 is: 20,388.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,208.74 : 33,406.02 = 14,775.48 : x
  2. Step 2: Convert to fraction form
    24,208.74/33,406.02 = 14,775.48/x
  3. Step 3: Cross multiply
    24,208.74x = 33,406.02 × 14,775.48
  4. Step 4: Simplify right side
    24,208.74x = 493,589,980.39
  5. Step 5: Solve for x
    x = 493,589,980.39/24,208.74
  6. Step 6: Final answer
    x = 20,388.92

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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.