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Finding the Fourth Proportional to 14,293.48, 19,723.14 and 8,007

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Solution

The fourth proportional to 14,293.48, 19,723.14 and 8,007 is: 11,048.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,293.48 : 19,723.14 = 8,007 : x
  2. Step 2: Convert to fraction form
    14,293.48/19,723.14 = 8,007/x
  3. Step 3: Cross multiply
    14,293.48x = 19,723.14 × 8,007
  4. Step 4: Simplify right side
    14,293.48x = 157,923,181.98
  5. Step 5: Solve for x
    x = 157,923,181.98/14,293.48
  6. Step 6: Final answer
    x = 11,048.62

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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.