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Finding the Fourth Proportional to 12,646.10, 18,969.15 and 4,438.10

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Solution

The fourth proportional to 12,646.10, 18,969.15 and 4,438.10 is: 6,657.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.10 : 18,969.15 = 4,438.10 : x
  2. Step 2: Convert to fraction form
    12,646.10/18,969.15 = 4,438.10/x
  3. Step 3: Cross multiply
    12,646.10x = 18,969.15 × 4,438.10
  4. Step 4: Simplify right side
    12,646.10x = 84,186,984.62
  5. Step 5: Solve for x
    x = 84,186,984.62/12,646.10
  6. Step 6: Final answer
    x = 6,657.15

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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.