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Finding the Fourth Proportional to 14,200.83, 19,597.16 and 8,235.96

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Solution

The fourth proportional to 14,200.83, 19,597.16 and 8,235.96 is: 11,365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.83 : 19,597.16 = 8,235.96 : x
  2. Step 2: Convert to fraction form
    14,200.83/19,597.16 = 8,235.96/x
  3. Step 3: Cross multiply
    14,200.83x = 19,597.16 × 8,235.96
  4. Step 4: Simplify right side
    14,200.83x = 161,401,384.69
  5. Step 5: Solve for x
    x = 161,401,384.69/14,200.83
  6. Step 6: Final answer
    x = 11,365.63

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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.