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Finding the Fourth Proportional to 30,142.32, 41,596.32 and 16,713.68

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Solution

The fourth proportional to 30,142.32, 41,596.32 and 16,713.68 is: 23,064.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.32 : 41,596.32 = 16,713.68 : x
  2. Step 2: Convert to fraction form
    30,142.32/41,596.32 = 16,713.68/x
  3. Step 3: Cross multiply
    30,142.32x = 41,596.32 × 16,713.68
  4. Step 4: Simplify right side
    30,142.32x = 695,227,581.66
  5. Step 5: Solve for x
    x = 695,227,581.66/30,142.32
  6. Step 6: Final answer
    x = 23,064.83

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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.