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Finding the Fourth Proportional to 14,527.32, 21,786.21 and 4,664.27

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Solution

The fourth proportional to 14,527.32, 21,786.21 and 4,664.27 is: 6,994.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,527.32 : 21,786.21 = 4,664.27 : x
  2. Step 2: Convert to fraction form
    14,527.32/21,786.21 = 4,664.27/x
  3. Step 3: Cross multiply
    14,527.32x = 21,786.21 × 4,664.27
  4. Step 4: Simplify right side
    14,527.32x = 101,616,656.79
  5. Step 5: Solve for x
    x = 101,616,656.79/14,527.32
  6. Step 6: Final answer
    x = 6,994.87

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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.