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Finding the Fourth Proportional to 14,260.23, 19,678.02 and 7,971.39

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Solution

The fourth proportional to 14,260.23, 19,678.02 and 7,971.39 is: 10,999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,260.23 : 19,678.02 = 7,971.39 : x
  2. Step 2: Convert to fraction form
    14,260.23/19,678.02 = 7,971.39/x
  3. Step 3: Cross multiply
    14,260.23x = 19,678.02 × 7,971.39
  4. Step 4: Simplify right side
    14,260.23x = 156,861,171.85
  5. Step 5: Solve for x
    x = 156,861,171.85/14,260.23
  6. Step 6: Final answer
    x = 10,999.90

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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.