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Finding the Fourth Proportional to 24,448.84, 33,730.26 and 14,377.80

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Solution

The fourth proportional to 24,448.84, 33,730.26 and 14,377.80 is: 19,835.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,448.84 : 33,730.26 = 14,377.80 : x
  2. Step 2: Convert to fraction form
    24,448.84/33,730.26 = 14,377.80/x
  3. Step 3: Cross multiply
    24,448.84x = 33,730.26 × 14,377.80
  4. Step 4: Simplify right side
    24,448.84x = 484,966,932.23
  5. Step 5: Solve for x
    x = 484,966,932.23/24,448.84
  6. Step 6: Final answer
    x = 19,835.99

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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.