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Finding the Fourth Proportional to 12,642, 18,971.64 and 4,434

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Solution

The fourth proportional to 12,642, 18,971.64 and 4,434 is: 6,654.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642 : 18,971.64 = 4,434 : x
  2. Step 2: Convert to fraction form
    12,642/18,971.64 = 4,434/x
  3. Step 3: Cross multiply
    12,642x = 18,971.64 × 4,434
  4. Step 4: Simplify right side
    12,642x = 84,120,251.76
  5. Step 5: Solve for x
    x = 84,120,251.76/12,642
  6. Step 6: Final answer
    x = 6,654.03

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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.