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Finding the Fourth Proportional to 25,427.54, 35,089.99 and 14,097

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Solution

The fourth proportional to 25,427.54, 35,089.99 and 14,097 is: 19,453.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,427.54 : 35,089.99 = 14,097 : x
  2. Step 2: Convert to fraction form
    25,427.54/35,089.99 = 14,097/x
  3. Step 3: Cross multiply
    25,427.54x = 35,089.99 × 14,097
  4. Step 4: Simplify right side
    25,427.54x = 494,663,553.79
  5. Step 5: Solve for x
    x = 494,663,553.79/25,427.54
  6. Step 6: Final answer
    x = 19,453.85

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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.