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Finding the Fourth Proportional to 19,538.64, 29,309.28 and 7,850.40

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Solution

The fourth proportional to 19,538.64, 29,309.28 and 7,850.40 is: 11,776.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,538.64 : 29,309.28 = 7,850.40 : x
  2. Step 2: Convert to fraction form
    19,538.64/29,309.28 = 7,850.40/x
  3. Step 3: Cross multiply
    19,538.64x = 29,309.28 × 7,850.40
  4. Step 4: Simplify right side
    19,538.64x = 230,089,571.71
  5. Step 5: Solve for x
    x = 230,089,571.71/19,538.64
  6. Step 6: Final answer
    x = 11,776.13

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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.