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Finding the Fourth Proportional to 13,959.10, 20,938.65 and 7,738.30

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Solution

The fourth proportional to 13,959.10, 20,938.65 and 7,738.30 is: 11,607.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,959.10 : 20,938.65 = 7,738.30 : x
  2. Step 2: Convert to fraction form
    13,959.10/20,938.65 = 7,738.30/x
  3. Step 3: Cross multiply
    13,959.10x = 20,938.65 × 7,738.30
  4. Step 4: Simplify right side
    13,959.10x = 162,029,555.30
  5. Step 5: Solve for x
    x = 162,029,555.30/13,959.10
  6. Step 6: Final answer
    x = 11,607.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.