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Finding the Fourth Proportional to 21,955.81, 30,290.86 and 14,406.33

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Solution

The fourth proportional to 21,955.81, 30,290.86 and 14,406.33 is: 19,875.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,955.81 : 30,290.86 = 14,406.33 : x
  2. Step 2: Convert to fraction form
    21,955.81/30,290.86 = 14,406.33/x
  3. Step 3: Cross multiply
    21,955.81x = 30,290.86 × 14,406.33
  4. Step 4: Simplify right side
    21,955.81x = 436,380,171.55
  5. Step 5: Solve for x
    x = 436,380,171.55/21,955.81
  6. Step 6: Final answer
    x = 19,875.39

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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.