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Finding the Fourth Proportional to 19,047.34, 28,589.46 and 9,193.54

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Solution

The fourth proportional to 19,047.34, 28,589.46 and 9,193.54 is: 13,799.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,047.34 : 28,589.46 = 9,193.54 : x
  2. Step 2: Convert to fraction form
    19,047.34/28,589.46 = 9,193.54/x
  3. Step 3: Cross multiply
    19,047.34x = 28,589.46 × 9,193.54
  4. Step 4: Simplify right side
    19,047.34x = 262,838,344.09
  5. Step 5: Solve for x
    x = 262,838,344.09/19,047.34
  6. Step 6: Final answer
    x = 13,799.22

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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.