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Finding the Fourth Proportional to 12,953.46, 19,430.19 and 5,162.34

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Solution

The fourth proportional to 12,953.46, 19,430.19 and 5,162.34 is: 7,743.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,953.46 : 19,430.19 = 5,162.34 : x
  2. Step 2: Convert to fraction form
    12,953.46/19,430.19 = 5,162.34/x
  3. Step 3: Cross multiply
    12,953.46x = 19,430.19 × 5,162.34
  4. Step 4: Simplify right side
    12,953.46x = 100,305,247.04
  5. Step 5: Solve for x
    x = 100,305,247.04/12,953.46
  6. Step 6: Final answer
    x = 7,743.51

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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.