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Finding the Fourth Proportional to 19,792.19, 27,309.95 and 11,294.31

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Solution

The fourth proportional to 19,792.19, 27,309.95 and 11,294.31 is: 15,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,792.19 : 27,309.95 = 11,294.31 : x
  2. Step 2: Convert to fraction form
    19,792.19/27,309.95 = 11,294.31/x
  3. Step 3: Cross multiply
    19,792.19x = 27,309.95 × 11,294.31
  4. Step 4: Simplify right side
    19,792.19x = 308,446,984.91
  5. Step 5: Solve for x
    x = 308,446,984.91/19,792.19
  6. Step 6: Final answer
    x = 15,584.28

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1.5x scale

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.