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Finding the Fourth Proportional to 24,497.91, 33,807.48 and 13,887.30

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Solution

The fourth proportional to 24,497.91, 33,807.48 and 13,887.30 is: 19,164.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,497.91 : 33,807.48 = 13,887.30 : x
  2. Step 2: Convert to fraction form
    24,497.91/33,807.48 = 13,887.30/x
  3. Step 3: Cross multiply
    24,497.91x = 33,807.48 × 13,887.30
  4. Step 4: Simplify right side
    24,497.91x = 469,494,617.00
  5. Step 5: Solve for x
    x = 469,494,617.00/24,497.91
  6. Step 6: Final answer
    x = 19,164.68

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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.