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Finding the Fourth Proportional to 12,670.85, 19,006.94 and 5,649.67

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Solution

The fourth proportional to 12,670.85, 19,006.94 and 5,649.67 is: 8,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,670.85 : 19,006.94 = 5,649.67 : x
  2. Step 2: Convert to fraction form
    12,670.85/19,006.94 = 5,649.67/x
  3. Step 3: Cross multiply
    12,670.85x = 19,006.94 × 5,649.67
  4. Step 4: Simplify right side
    12,670.85x = 107,382,938.71
  5. Step 5: Solve for x
    x = 107,382,938.71/12,670.85
  6. Step 6: Final answer
    x = 8,474.80

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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.