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Finding the Fourth Proportional to 21,274.88, 29,356.44 and 11,842.16

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Solution

The fourth proportional to 21,274.88, 29,356.44 and 11,842.16 is: 16,340.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,274.88 : 29,356.44 = 11,842.16 : x
  2. Step 2: Convert to fraction form
    21,274.88/29,356.44 = 11,842.16/x
  3. Step 3: Cross multiply
    21,274.88x = 29,356.44 × 11,842.16
  4. Step 4: Simplify right side
    21,274.88x = 347,643,659.51
  5. Step 5: Solve for x
    x = 347,643,659.51/21,274.88
  6. Step 6: Final answer
    x = 16,340.57

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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.