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Finding the Fourth Proportional to 13,752.82, 18,978.96 and 7,784.38

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Solution

The fourth proportional to 13,752.82, 18,978.96 and 7,784.38 is: 10,742.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752.82 : 18,978.96 = 7,784.38 : x
  2. Step 2: Convert to fraction form
    13,752.82/18,978.96 = 7,784.38/x
  3. Step 3: Cross multiply
    13,752.82x = 18,978.96 × 7,784.38
  4. Step 4: Simplify right side
    13,752.82x = 147,739,436.64
  5. Step 5: Solve for x
    x = 147,739,436.64/13,752.82
  6. Step 6: Final answer
    x = 10,742.48

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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.