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Finding the Fourth Proportional to 8,429.71, 12,644.80 and 2,189.59

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Solution

The fourth proportional to 8,429.71, 12,644.80 and 2,189.59 is: 3,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.71 : 12,644.80 = 2,189.59 : x
  2. Step 2: Convert to fraction form
    8,429.71/12,644.80 = 2,189.59/x
  3. Step 3: Cross multiply
    8,429.71x = 12,644.80 × 2,189.59
  4. Step 4: Simplify right side
    8,429.71x = 27,686,927.63
  5. Step 5: Solve for x
    x = 27,686,927.63/8,429.71
  6. Step 6: Final answer
    x = 3,284.45

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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.