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Finding the Fourth Proportional to 12,646.35, 17,442.09 and 8,109.46

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Solution

The fourth proportional to 12,646.35, 17,442.09 and 8,109.46 is: 11,184.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.35 : 17,442.09 = 8,109.46 : x
  2. Step 2: Convert to fraction form
    12,646.35/17,442.09 = 8,109.46/x
  3. Step 3: Cross multiply
    12,646.35x = 17,442.09 × 8,109.46
  4. Step 4: Simplify right side
    12,646.35x = 141,445,887.57
  5. Step 5: Solve for x
    x = 141,445,887.57/12,646.35
  6. Step 6: Final answer
    x = 11,184.72

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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.