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Finding the Fourth Proportional to 12,676.32, 19,011.65 and 3,909.69

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Solution

The fourth proportional to 12,676.32, 19,011.65 and 3,909.69 is: 5,863.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,676.32 : 19,011.65 = 3,909.69 : x
  2. Step 2: Convert to fraction form
    12,676.32/19,011.65 = 3,909.69/x
  3. Step 3: Cross multiply
    12,676.32x = 19,011.65 × 3,909.69
  4. Step 4: Simplify right side
    12,676.32x = 74,329,638.34
  5. Step 5: Solve for x
    x = 74,329,638.34/12,676.32
  6. Step 6: Final answer
    x = 5,863.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.