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Finding the Fourth Proportional to 12,953.96, 19,430.94 and 5,162.84

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Solution

The fourth proportional to 12,953.96, 19,430.94 and 5,162.84 is: 7,744.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,953.96 : 19,430.94 = 5,162.84 : x
  2. Step 2: Convert to fraction form
    12,953.96/19,430.94 = 5,162.84/x
  3. Step 3: Cross multiply
    12,953.96x = 19,430.94 × 5,162.84
  4. Step 4: Simplify right side
    12,953.96x = 100,318,834.27
  5. Step 5: Solve for x
    x = 100,318,834.27/12,953.96
  6. Step 6: Final answer
    x = 7,744.26

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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.