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Finding the Fourth Proportional to 12,886.80, 19,321.74 and 6,641.76

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Solution

The fourth proportional to 12,886.80, 19,321.74 and 6,641.76 is: 9,958.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.80 : 19,321.74 = 6,641.76 : x
  2. Step 2: Convert to fraction form
    12,886.80/19,321.74 = 6,641.76/x
  3. Step 3: Cross multiply
    12,886.80x = 19,321.74 × 6,641.76
  4. Step 4: Simplify right side
    12,886.80x = 128,330,359.86
  5. Step 5: Solve for x
    x = 128,330,359.86/12,886.80
  6. Step 6: Final answer
    x = 9,958.28

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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.