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Finding the Fourth Proportional to 12,906.72, 19,368.77 and 4,586.85

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Solution

The fourth proportional to 12,906.72, 19,368.77 and 4,586.85 is: 6,883.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.72 : 19,368.77 = 4,586.85 : x
  2. Step 2: Convert to fraction form
    12,906.72/19,368.77 = 4,586.85/x
  3. Step 3: Cross multiply
    12,906.72x = 19,368.77 × 4,586.85
  4. Step 4: Simplify right side
    12,906.72x = 88,841,700.02
  5. Step 5: Solve for x
    x = 88,841,700.02/12,906.72
  6. Step 6: Final answer
    x = 6,883.37

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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.