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Finding the Fourth Proportional to 12,780.46, 19,169.06 and 9,498.34

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Solution

The fourth proportional to 12,780.46, 19,169.06 and 9,498.34 is: 14,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.46 : 19,169.06 = 9,498.34 : x
  2. Step 2: Convert to fraction form
    12,780.46/19,169.06 = 9,498.34/x
  3. Step 3: Cross multiply
    12,780.46x = 19,169.06 × 9,498.34
  4. Step 4: Simplify right side
    12,780.46x = 182,074,249.36
  5. Step 5: Solve for x
    x = 182,074,249.36/12,780.46
  6. Step 6: Final answer
    x = 14,246.30

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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.