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Finding the Fourth Proportional to 25,294, 34,905.74 and 14,116

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Solution

The fourth proportional to 25,294, 34,905.74 and 14,116 is: 19,480.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,294 : 34,905.74 = 14,116 : x
  2. Step 2: Convert to fraction form
    25,294/34,905.74 = 14,116/x
  3. Step 3: Cross multiply
    25,294x = 34,905.74 × 14,116
  4. Step 4: Simplify right side
    25,294x = 492,729,425.84
  5. Step 5: Solve for x
    x = 492,729,425.84/25,294
  6. Step 6: Final answer
    x = 19,480.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.