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Finding the Fourth Proportional to 34,012.57, 51,019.37 and 12,953.77

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Solution

The fourth proportional to 34,012.57, 51,019.37 and 12,953.77 is: 19,430.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,012.57 : 51,019.37 = 12,953.77 : x
  2. Step 2: Convert to fraction form
    34,012.57/51,019.37 = 12,953.77/x
  3. Step 3: Cross multiply
    34,012.57x = 51,019.37 × 12,953.77
  4. Step 4: Simplify right side
    34,012.57x = 660,893,375.85
  5. Step 5: Solve for x
    x = 660,893,375.85/34,012.57
  6. Step 6: Final answer
    x = 19,430.86

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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.