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Finding the Fourth Proportional to 15,755.40, 21,738.42 and 9,786.60

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Solution

The fourth proportional to 15,755.40, 21,738.42 and 9,786.60 is: 13,503.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,755.40 : 21,738.42 = 9,786.60 : x
  2. Step 2: Convert to fraction form
    15,755.40/21,738.42 = 9,786.60/x
  3. Step 3: Cross multiply
    15,755.40x = 21,738.42 × 9,786.60
  4. Step 4: Simplify right side
    15,755.40x = 212,745,221.17
  5. Step 5: Solve for x
    x = 212,745,221.17/15,755.40
  6. Step 6: Final answer
    x = 13,503.00

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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.