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Finding the Fourth Proportional to 30,186.96, 41,656.05 and 16,758.20

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Solution

The fourth proportional to 30,186.96, 41,656.05 and 16,758.20 is: 23,125.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,186.96 : 41,656.05 = 16,758.20 : x
  2. Step 2: Convert to fraction form
    30,186.96/41,656.05 = 16,758.20/x
  3. Step 3: Cross multiply
    30,186.96x = 41,656.05 × 16,758.20
  4. Step 4: Simplify right side
    30,186.96x = 698,080,208.83
  5. Step 5: Solve for x
    x = 698,080,208.83/30,186.96
  6. Step 6: Final answer
    x = 23,125.22

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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.