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Finding the Fourth Proportional to 30,142.54, 41,596.08 and 16,713.55

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Solution

The fourth proportional to 30,142.54, 41,596.08 and 16,713.55 is: 23,064.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.54 : 41,596.08 = 16,713.55 : x
  2. Step 2: Convert to fraction form
    30,142.54/41,596.08 = 16,713.55/x
  3. Step 3: Cross multiply
    30,142.54x = 41,596.08 × 16,713.55
  4. Step 4: Simplify right side
    30,142.54x = 695,218,162.88
  5. Step 5: Solve for x
    x = 695,218,162.88/30,142.54
  6. Step 6: Final answer
    x = 23,064.35

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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.