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Finding the Fourth Proportional to 14,274.27, 21,406.08 and 4,911.64

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Solution

The fourth proportional to 14,274.27, 21,406.08 and 4,911.64 is: 7,365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274.27 : 21,406.08 = 4,911.64 : x
  2. Step 2: Convert to fraction form
    14,274.27/21,406.08 = 4,911.64/x
  3. Step 3: Cross multiply
    14,274.27x = 21,406.08 × 4,911.64
  4. Step 4: Simplify right side
    14,274.27x = 105,138,958.77
  5. Step 5: Solve for x
    x = 105,138,958.77/14,274.27
  6. Step 6: Final answer
    x = 7,365.63

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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.