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Finding the Fourth Proportional to 21,478.75, 29,653.64 and 14,039.71

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Solution

The fourth proportional to 21,478.75, 29,653.64 and 14,039.71 is: 19,383.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,478.75 : 29,653.64 = 14,039.71 : x
  2. Step 2: Convert to fraction form
    21,478.75/29,653.64 = 14,039.71/x
  3. Step 3: Cross multiply
    21,478.75x = 29,653.64 × 14,039.71
  4. Step 4: Simplify right side
    21,478.75x = 416,328,506.04
  5. Step 5: Solve for x
    x = 416,328,506.04/21,478.75
  6. Step 6: Final answer
    x = 19,383.27

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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.