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Finding the Fourth Proportional to 12,646.92, 18,968.46 and 4,437

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Solution

The fourth proportional to 12,646.92, 18,968.46 and 4,437 is: 6,654.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.92 : 18,968.46 = 4,437 : x
  2. Step 2: Convert to fraction form
    12,646.92/18,968.46 = 4,437/x
  3. Step 3: Cross multiply
    12,646.92x = 18,968.46 × 4,437
  4. Step 4: Simplify right side
    12,646.92x = 84,163,057.02
  5. Step 5: Solve for x
    x = 84,163,057.02/12,646.92
  6. Step 6: Final answer
    x = 6,654.83

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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.