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Finding the Fourth Proportional to 14,204.92, 19,602.80 and 8,539.73

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Solution

The fourth proportional to 14,204.92, 19,602.80 and 8,539.73 is: 11,784.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,204.92 : 19,602.80 = 8,539.73 : x
  2. Step 2: Convert to fraction form
    14,204.92/19,602.80 = 8,539.73/x
  3. Step 3: Cross multiply
    14,204.92x = 19,602.80 × 8,539.73
  4. Step 4: Simplify right side
    14,204.92x = 167,402,542.58
  5. Step 5: Solve for x
    x = 167,402,542.58/14,204.92
  6. Step 6: Final answer
    x = 11,784.83

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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.