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Finding the Fourth Proportional to 34,738.76, 52,123.86 and 13,673

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Solution

The fourth proportional to 34,738.76, 52,123.86 and 13,673 is: 20,515.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,738.76 : 52,123.86 = 13,673 : x
  2. Step 2: Convert to fraction form
    34,738.76/52,123.86 = 13,673/x
  3. Step 3: Cross multiply
    34,738.76x = 52,123.86 × 13,673
  4. Step 4: Simplify right side
    34,738.76x = 712,689,537.78
  5. Step 5: Solve for x
    x = 712,689,537.78/34,738.76
  6. Step 6: Final answer
    x = 20,515.69

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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.