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Finding the Fourth Proportional to 30,142.68, 41,596.68 and 16,713.92

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Solution

The fourth proportional to 30,142.68, 41,596.68 and 16,713.92 is: 23,065.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.68 : 41,596.68 = 16,713.92 : x
  2. Step 2: Convert to fraction form
    30,142.68/41,596.68 = 16,713.92/x
  3. Step 3: Cross multiply
    30,142.68x = 41,596.68 × 16,713.92
  4. Step 4: Simplify right side
    30,142.68x = 695,243,581.79
  5. Step 5: Solve for x
    x = 695,243,581.79/30,142.68
  6. Step 6: Final answer
    x = 23,065.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.