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Finding the Fourth Proportional to 14,584.32, 21,871.68 and 8,017.92

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Solution

The fourth proportional to 14,584.32, 21,871.68 and 8,017.92 is: 12,024.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,584.32 : 21,871.68 = 8,017.92 : x
  2. Step 2: Convert to fraction form
    14,584.32/21,871.68 = 8,017.92/x
  3. Step 3: Cross multiply
    14,584.32x = 21,871.68 × 8,017.92
  4. Step 4: Simplify right side
    14,584.32x = 175,365,380.51
  5. Step 5: Solve for x
    x = 175,365,380.51/14,584.32
  6. Step 6: Final answer
    x = 12,024.24

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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.