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Finding the Fourth Proportional to 24,490.84, 33,798.73 and 14,416.98

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Solution

The fourth proportional to 24,490.84, 33,798.73 and 14,416.98 is: 19,896.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,490.84 : 33,798.73 = 14,416.98 : x
  2. Step 2: Convert to fraction form
    24,490.84/33,798.73 = 14,416.98/x
  3. Step 3: Cross multiply
    24,490.84x = 33,798.73 × 14,416.98
  4. Step 4: Simplify right side
    24,490.84x = 487,275,614.44
  5. Step 5: Solve for x
    x = 487,275,614.44/24,490.84
  6. Step 6: Final answer
    x = 19,896.24

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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.