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Finding the Fourth Proportional to 13,133.92, 19,703.12 and 4,814.56

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Solution

The fourth proportional to 13,133.92, 19,703.12 and 4,814.56 is: 7,222.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.92 : 19,703.12 = 4,814.56 : x
  2. Step 2: Convert to fraction form
    13,133.92/19,703.12 = 4,814.56/x
  3. Step 3: Cross multiply
    13,133.92x = 19,703.12 × 4,814.56
  4. Step 4: Simplify right side
    13,133.92x = 94,861,853.43
  5. Step 5: Solve for x
    x = 94,861,853.43/13,133.92
  6. Step 6: Final answer
    x = 7,222.66

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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.