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Finding the Fourth Proportional to 14,414.58, 21,615.80 and 6,094.26

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Solution

The fourth proportional to 14,414.58, 21,615.80 and 6,094.26 is: 9,138.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.58 : 21,615.80 = 6,094.26 : x
  2. Step 2: Convert to fraction form
    14,414.58/21,615.80 = 6,094.26/x
  3. Step 3: Cross multiply
    14,414.58x = 21,615.80 × 6,094.26
  4. Step 4: Simplify right side
    14,414.58x = 131,732,274.84
  5. Step 5: Solve for x
    x = 131,732,274.84/14,414.58
  6. Step 6: Final answer
    x = 9,138.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.