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Finding the Fourth Proportional to 30,590.65, 45,902.70 and 11,871.43

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Solution

The fourth proportional to 30,590.65, 45,902.70 and 11,871.43 is: 17,813.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,590.65 : 45,902.70 = 11,871.43 : x
  2. Step 2: Convert to fraction form
    30,590.65/45,902.70 = 11,871.43/x
  3. Step 3: Cross multiply
    30,590.65x = 45,902.70 × 11,871.43
  4. Step 4: Simplify right side
    30,590.65x = 544,930,400.99
  5. Step 5: Solve for x
    x = 544,930,400.99/30,590.65
  6. Step 6: Final answer
    x = 17,813.63

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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.