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Finding the Fourth Proportional to 34,518.36, 51,780.96 and 13,737

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Solution

The fourth proportional to 34,518.36, 51,780.96 and 13,737 is: 20,606.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,518.36 : 51,780.96 = 13,737 : x
  2. Step 2: Convert to fraction form
    34,518.36/51,780.96 = 13,737/x
  3. Step 3: Cross multiply
    34,518.36x = 51,780.96 × 13,737
  4. Step 4: Simplify right side
    34,518.36x = 711,315,047.52
  5. Step 5: Solve for x
    x = 711,315,047.52/34,518.36
  6. Step 6: Final answer
    x = 20,606.86

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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.