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Finding the Fourth Proportional to 13,415.71, 20,086.63 and 6,809.59

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Solution

The fourth proportional to 13,415.71, 20,086.63 and 6,809.59 is: 10,195.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.71 : 20,086.63 = 6,809.59 : x
  2. Step 2: Convert to fraction form
    13,415.71/20,086.63 = 6,809.59/x
  3. Step 3: Cross multiply
    13,415.71x = 20,086.63 × 6,809.59
  4. Step 4: Simplify right side
    13,415.71x = 136,781,714.78
  5. Step 5: Solve for x
    x = 136,781,714.78/13,415.71
  6. Step 6: Final answer
    x = 10,195.64

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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.