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Finding the Fourth Proportional to 14,641.68, 20,205.44 and 8,676.32

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Solution

The fourth proportional to 14,641.68, 20,205.44 and 8,676.32 is: 11,973.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641.68 : 20,205.44 = 8,676.32 : x
  2. Step 2: Convert to fraction form
    14,641.68/20,205.44 = 8,676.32/x
  3. Step 3: Cross multiply
    14,641.68x = 20,205.44 × 8,676.32
  4. Step 4: Simplify right side
    14,641.68x = 175,308,863.18
  5. Step 5: Solve for x
    x = 175,308,863.18/14,641.68
  6. Step 6: Final answer
    x = 11,973.28

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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.