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Finding the Fourth Proportional to 12,636.06, 17,434.26 and 8,160

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Solution

The fourth proportional to 12,636.06, 17,434.26 and 8,160 is: 11,258.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,636.06 : 17,434.26 = 8,160 : x
  2. Step 2: Convert to fraction form
    12,636.06/17,434.26 = 8,160/x
  3. Step 3: Cross multiply
    12,636.06x = 17,434.26 × 8,160
  4. Step 4: Simplify right side
    12,636.06x = 142,263,561.60
  5. Step 5: Solve for x
    x = 142,263,561.60/12,636.06
  6. Step 6: Final answer
    x = 11,258.54

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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.