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Finding the Fourth Proportional to 24,483.84, 33,790.36 and 14,414.74

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Solution

The fourth proportional to 24,483.84, 33,790.36 and 14,414.74 is: 19,893.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,483.84 : 33,790.36 = 14,414.74 : x
  2. Step 2: Convert to fraction form
    24,483.84/33,790.36 = 14,414.74/x
  3. Step 3: Cross multiply
    24,483.84x = 33,790.36 × 14,414.74
  4. Step 4: Simplify right side
    24,483.84x = 487,079,253.91
  5. Step 5: Solve for x
    x = 487,079,253.91/24,483.84
  6. Step 6: Final answer
    x = 19,893.91

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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.