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Finding the Fourth Proportional to 14,292.25, 19,723.31 and 8,004.76

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Solution

The fourth proportional to 14,292.25, 19,723.31 and 8,004.76 is: 11,046.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,292.25 : 19,723.31 = 8,004.76 : x
  2. Step 2: Convert to fraction form
    14,292.25/19,723.31 = 8,004.76/x
  3. Step 3: Cross multiply
    14,292.25x = 19,723.31 × 8,004.76
  4. Step 4: Simplify right side
    14,292.25x = 157,880,362.96
  5. Step 5: Solve for x
    x = 157,880,362.96/14,292.25
  6. Step 6: Final answer
    x = 11,046.57

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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.