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Finding the Fourth Proportional to 24,618.25, 33,973.19 and 14,014

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Solution

The fourth proportional to 24,618.25, 33,973.19 and 14,014 is: 19,339.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,618.25 : 33,973.19 = 14,014 : x
  2. Step 2: Convert to fraction form
    24,618.25/33,973.19 = 14,014/x
  3. Step 3: Cross multiply
    24,618.25x = 33,973.19 × 14,014
  4. Step 4: Simplify right side
    24,618.25x = 476,100,284.66
  5. Step 5: Solve for x
    x = 476,100,284.66/24,618.25
  6. Step 6: Final answer
    x = 19,339.32

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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.