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Finding the Fourth Proportional to 14,560.88, 20,089.32 and 8,594.54

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Solution

The fourth proportional to 14,560.88, 20,089.32 and 8,594.54 is: 11,857.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,560.88 : 20,089.32 = 8,594.54 : x
  2. Step 2: Convert to fraction form
    14,560.88/20,089.32 = 8,594.54/x
  3. Step 3: Cross multiply
    14,560.88x = 20,089.32 × 8,594.54
  4. Step 4: Simplify right side
    14,560.88x = 172,658,464.31
  5. Step 5: Solve for x
    x = 172,658,464.31/14,560.88
  6. Step 6: Final answer
    x = 11,857.69

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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.