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Finding the Fourth Proportional to 14,797.58, 20,422.13 and 8,829.23

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Solution

The fourth proportional to 14,797.58, 20,422.13 and 8,829.23 is: 12,185.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,797.58 : 20,422.13 = 8,829.23 : x
  2. Step 2: Convert to fraction form
    14,797.58/20,422.13 = 8,829.23/x
  3. Step 3: Cross multiply
    14,797.58x = 20,422.13 × 8,829.23
  4. Step 4: Simplify right side
    14,797.58x = 180,311,536.60
  5. Step 5: Solve for x
    x = 180,311,536.60/14,797.58
  6. Step 6: Final answer
    x = 12,185.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.