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Finding the Fourth Proportional to 24,259.64, 33,477.96 and 13,649.28

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Solution

The fourth proportional to 24,259.64, 33,477.96 and 13,649.28 is: 18,835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,259.64 : 33,477.96 = 13,649.28 : x
  2. Step 2: Convert to fraction form
    24,259.64/33,477.96 = 13,649.28/x
  3. Step 3: Cross multiply
    24,259.64x = 33,477.96 × 13,649.28
  4. Step 4: Simplify right side
    24,259.64x = 456,950,049.87
  5. Step 5: Solve for x
    x = 456,950,049.87/24,259.64
  6. Step 6: Final answer
    x = 18,835.81

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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.