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Finding the Fourth Proportional to 14,200.49, 19,596.76 and 8,235.70

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Solution

The fourth proportional to 14,200.49, 19,596.76 and 8,235.70 is: 11,365.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.49 : 19,596.76 = 8,235.70 : x
  2. Step 2: Convert to fraction form
    14,200.49/19,596.76 = 8,235.70/x
  3. Step 3: Cross multiply
    14,200.49x = 19,596.76 × 8,235.70
  4. Step 4: Simplify right side
    14,200.49x = 161,392,966.75
  5. Step 5: Solve for x
    x = 161,392,966.75/14,200.49
  6. Step 6: Final answer
    x = 11,365.31

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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.