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Finding the Fourth Proportional to 21,458, 29,609.64 and 12,025.20

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Solution

The fourth proportional to 21,458, 29,609.64 and 12,025.20 is: 16,593.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,458 : 29,609.64 = 12,025.20 : x
  2. Step 2: Convert to fraction form
    21,458/29,609.64 = 12,025.20/x
  3. Step 3: Cross multiply
    21,458x = 29,609.64 × 12,025.20
  4. Step 4: Simplify right side
    21,458x = 356,061,842.93
  5. Step 5: Solve for x
    x = 356,061,842.93/21,458
  6. Step 6: Final answer
    x = 16,593.43

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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.