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Finding the Fourth Proportional to 25,134.81, 34,676.38 and 14,377.50

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Solution

The fourth proportional to 25,134.81, 34,676.38 and 14,377.50 is: 19,835.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,134.81 : 34,676.38 = 14,377.50 : x
  2. Step 2: Convert to fraction form
    25,134.81/34,676.38 = 14,377.50/x
  3. Step 3: Cross multiply
    25,134.81x = 34,676.38 × 14,377.50
  4. Step 4: Simplify right side
    25,134.81x = 498,559,671.42
  5. Step 5: Solve for x
    x = 498,559,671.42/25,134.81
  6. Step 6: Final answer
    x = 19,835.43

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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.