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Finding the Fourth Proportional to 24,259.84, 33,478.56 and 13,649.44

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Solution

The fourth proportional to 24,259.84, 33,478.56 and 13,649.44 is: 18,836.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,259.84 : 33,478.56 = 13,649.44 : x
  2. Step 2: Convert to fraction form
    24,259.84/33,478.56 = 13,649.44/x
  3. Step 3: Cross multiply
    24,259.84x = 33,478.56 × 13,649.44
  4. Step 4: Simplify right side
    24,259.84x = 456,963,596.01
  5. Step 5: Solve for x
    x = 456,963,596.01/24,259.84
  6. Step 6: Final answer
    x = 18,836.22

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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.