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Finding the Fourth Proportional to 19,314.56, 28,969.42 and 6,165.84

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Solution

The fourth proportional to 19,314.56, 28,969.42 and 6,165.84 is: 9,247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,314.56 : 28,969.42 = 6,165.84 : x
  2. Step 2: Convert to fraction form
    19,314.56/28,969.42 = 6,165.84/x
  3. Step 3: Cross multiply
    19,314.56x = 28,969.42 × 6,165.84
  4. Step 4: Simplify right side
    19,314.56x = 178,620,808.61
  5. Step 5: Solve for x
    x = 178,620,808.61/19,314.56
  6. Step 6: Final answer
    x = 9,247.99

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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.