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Finding the Fourth Proportional to 12,646.07, 18,969.10 and 3,412.07

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Solution

The fourth proportional to 12,646.07, 18,969.10 and 3,412.07 is: 5,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.07 : 18,969.10 = 3,412.07 : x
  2. Step 2: Convert to fraction form
    12,646.07/18,969.10 = 3,412.07/x
  3. Step 3: Cross multiply
    12,646.07x = 18,969.10 × 3,412.07
  4. Step 4: Simplify right side
    12,646.07x = 64,723,785.13
  5. Step 5: Solve for x
    x = 64,723,785.13/12,646.07
  6. Step 6: Final answer
    x = 5,118.10

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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.