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Finding the Fourth Proportional to 14,342.95, 19,792.63 and 7,969.99

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Solution

The fourth proportional to 14,342.95, 19,792.63 and 7,969.99 is: 10,998.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,342.95 : 19,792.63 = 7,969.99 : x
  2. Step 2: Convert to fraction form
    14,342.95/19,792.63 = 7,969.99/x
  3. Step 3: Cross multiply
    14,342.95x = 19,792.63 × 7,969.99
  4. Step 4: Simplify right side
    14,342.95x = 157,747,043.25
  5. Step 5: Solve for x
    x = 157,747,043.25/14,342.95
  6. Step 6: Final answer
    x = 10,998.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.