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Finding the Fourth Proportional to 34,137.14, 51,205.65 and 9,513.14

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Solution

The fourth proportional to 34,137.14, 51,205.65 and 9,513.14 is: 14,269.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,137.14 : 51,205.65 = 9,513.14 : x
  2. Step 2: Convert to fraction form
    34,137.14/51,205.65 = 9,513.14/x
  3. Step 3: Cross multiply
    34,137.14x = 51,205.65 × 9,513.14
  4. Step 4: Simplify right side
    34,137.14x = 487,126,261.21
  5. Step 5: Solve for x
    x = 487,126,261.21/34,137.14
  6. Step 6: Final answer
    x = 14,269.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.