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Finding the Fourth Proportional to 24,486.46, 33,798.96 and 14,414.12

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Solution

The fourth proportional to 24,486.46, 33,798.96 and 14,414.12 is: 19,895.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,486.46 : 33,798.96 = 14,414.12 : x
  2. Step 2: Convert to fraction form
    24,486.46/33,798.96 = 14,414.12/x
  3. Step 3: Cross multiply
    24,486.46x = 33,798.96 × 14,414.12
  4. Step 4: Simplify right side
    24,486.46x = 487,182,265.32
  5. Step 5: Solve for x
    x = 487,182,265.32/24,486.46
  6. Step 6: Final answer
    x = 19,895.99

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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.