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Finding the Fourth Proportional to 21,750.40, 29,984.32 and 13,361.28

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Solution

The fourth proportional to 21,750.40, 29,984.32 and 13,361.28 is: 18,419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,750.40 : 29,984.32 = 13,361.28 : x
  2. Step 2: Convert to fraction form
    21,750.40/29,984.32 = 13,361.28/x
  3. Step 3: Cross multiply
    21,750.40x = 29,984.32 × 13,361.28
  4. Step 4: Simplify right side
    21,750.40x = 400,628,895.13
  5. Step 5: Solve for x
    x = 400,628,895.13/21,750.40
  6. Step 6: Final answer
    x = 18,419.38

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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.