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Finding the Fourth Proportional to 34,381.86, 51,555.77 and 12,191.91

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Solution

The fourth proportional to 34,381.86, 51,555.77 and 12,191.91 is: 18,281.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,381.86 : 51,555.77 = 12,191.91 : x
  2. Step 2: Convert to fraction form
    34,381.86/51,555.77 = 12,191.91/x
  3. Step 3: Cross multiply
    34,381.86x = 51,555.77 × 12,191.91
  4. Step 4: Simplify right side
    34,381.86x = 628,563,307.82
  5. Step 5: Solve for x
    x = 628,563,307.82/34,381.86
  6. Step 6: Final answer
    x = 18,281.83

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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.