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Finding the Fourth Proportional to 12,421.98, 17,145.54 and 8,645.76

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Solution

The fourth proportional to 12,421.98, 17,145.54 and 8,645.76 is: 11,933.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,421.98 : 17,145.54 = 8,645.76 : x
  2. Step 2: Convert to fraction form
    12,421.98/17,145.54 = 8,645.76/x
  3. Step 3: Cross multiply
    12,421.98x = 17,145.54 × 8,645.76
  4. Step 4: Simplify right side
    12,421.98x = 148,236,223.91
  5. Step 5: Solve for x
    x = 148,236,223.91/12,421.98
  6. Step 6: Final answer
    x = 11,933.38

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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.