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Finding the Fourth Proportional to 14,527.50, 21,797.64 and 11,268.88

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Solution

The fourth proportional to 14,527.50, 21,797.64 and 11,268.88 is: 16,908.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,527.50 : 21,797.64 = 11,268.88 : x
  2. Step 2: Convert to fraction form
    14,527.50/21,797.64 = 11,268.88/x
  3. Step 3: Cross multiply
    14,527.50x = 21,797.64 × 11,268.88
  4. Step 4: Simplify right side
    14,527.50x = 245,634,989.44
  5. Step 5: Solve for x
    x = 245,634,989.44/14,527.50
  6. Step 6: Final answer
    x = 16,908.28

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Why These Related Problems?

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