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Finding the Fourth Proportional to 14,204.69, 19,602 and 8,902.43

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Solution

The fourth proportional to 14,204.69, 19,602 and 8,902.43 is: 12,285.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,204.69 : 19,602 = 8,902.43 : x
  2. Step 2: Convert to fraction form
    14,204.69/19,602 = 8,902.43/x
  3. Step 3: Cross multiply
    14,204.69x = 19,602 × 8,902.43
  4. Step 4: Simplify right side
    14,204.69x = 174,505,432.86
  5. Step 5: Solve for x
    x = 174,505,432.86/14,204.69
  6. Step 6: Final answer
    x = 12,285.06

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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.