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Finding the Fourth Proportional to 19,833.76, 29,756.40 and 9,454.24

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Solution

The fourth proportional to 19,833.76, 29,756.40 and 9,454.24 is: 14,184.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,833.76 : 29,756.40 = 9,454.24 : x
  2. Step 2: Convert to fraction form
    19,833.76/29,756.40 = 9,454.24/x
  3. Step 3: Cross multiply
    19,833.76x = 29,756.40 × 9,454.24
  4. Step 4: Simplify right side
    19,833.76x = 281,324,147.14
  5. Step 5: Solve for x
    x = 281,324,147.14/19,833.76
  6. Step 6: Final answer
    x = 14,184.11

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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.