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Finding the Fourth Proportional to 12,329.53, 18,496.14 and 4,537.75

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Solution

The fourth proportional to 12,329.53, 18,496.14 and 4,537.75 is: 6,807.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,329.53 : 18,496.14 = 4,537.75 : x
  2. Step 2: Convert to fraction form
    12,329.53/18,496.14 = 4,537.75/x
  3. Step 3: Cross multiply
    12,329.53x = 18,496.14 × 4,537.75
  4. Step 4: Simplify right side
    12,329.53x = 83,930,744.12
  5. Step 5: Solve for x
    x = 83,930,744.12/12,329.53
  6. Step 6: Final answer
    x = 6,807.30

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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.