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Finding the Fourth Proportional to 30,780.26, 46,174.83 and 9,713.14

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Solution

The fourth proportional to 30,780.26, 46,174.83 and 9,713.14 is: 14,571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,780.26 : 46,174.83 = 9,713.14 : x
  2. Step 2: Convert to fraction form
    30,780.26/46,174.83 = 9,713.14/x
  3. Step 3: Cross multiply
    30,780.26x = 46,174.83 × 9,713.14
  4. Step 4: Simplify right side
    30,780.26x = 448,502,588.27
  5. Step 5: Solve for x
    x = 448,502,588.27/30,780.26
  6. Step 6: Final answer
    x = 14,571.11

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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.