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Finding the Fourth Proportional to 13,729.17, 18,945.22 and 7,761.40

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Solution

The fourth proportional to 13,729.17, 18,945.22 and 7,761.40 is: 10,710.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.17 : 18,945.22 = 7,761.40 : x
  2. Step 2: Convert to fraction form
    13,729.17/18,945.22 = 7,761.40/x
  3. Step 3: Cross multiply
    13,729.17x = 18,945.22 × 7,761.40
  4. Step 4: Simplify right side
    13,729.17x = 147,041,430.51
  5. Step 5: Solve for x
    x = 147,041,430.51/13,729.17
  6. Step 6: Final answer
    x = 10,710.15

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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.