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Finding the Fourth Proportional to 24,619.25, 33,974.57 and 14,015

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Solution

The fourth proportional to 24,619.25, 33,974.57 and 14,015 is: 19,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,619.25 : 33,974.57 = 14,015 : x
  2. Step 2: Convert to fraction form
    24,619.25/33,974.57 = 14,015/x
  3. Step 3: Cross multiply
    24,619.25x = 33,974.57 × 14,015
  4. Step 4: Simplify right side
    24,619.25x = 476,153,598.55
  5. Step 5: Solve for x
    x = 476,153,598.55/24,619.25
  6. Step 6: Final answer
    x = 19,340.70

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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.