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Finding the Fourth Proportional to 12,646.63, 17,429.22 and 8,390.18

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Solution

The fourth proportional to 12,646.63, 17,429.22 and 8,390.18 is: 11,563.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.63 : 17,429.22 = 8,390.18 : x
  2. Step 2: Convert to fraction form
    12,646.63/17,429.22 = 8,390.18/x
  3. Step 3: Cross multiply
    12,646.63x = 17,429.22 × 8,390.18
  4. Step 4: Simplify right side
    12,646.63x = 146,234,293.06
  5. Step 5: Solve for x
    x = 146,234,293.06/12,646.63
  6. Step 6: Final answer
    x = 11,563.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.