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Finding the Fourth Proportional to 25,283, 34,890.56 and 14,105

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Solution

The fourth proportional to 25,283, 34,890.56 and 14,105 is: 19,464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,283 : 34,890.56 = 14,105 : x
  2. Step 2: Convert to fraction form
    25,283/34,890.56 = 14,105/x
  3. Step 3: Cross multiply
    25,283x = 34,890.56 × 14,105
  4. Step 4: Simplify right side
    25,283x = 492,131,348.80
  5. Step 5: Solve for x
    x = 492,131,348.80/25,283
  6. Step 6: Final answer
    x = 19,464.91

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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.