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Finding the Fourth Proportional to 29,924.28, 44,894.10 and 9,147.72

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Solution

The fourth proportional to 29,924.28, 44,894.10 and 9,147.72 is: 13,723.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,924.28 : 44,894.10 = 9,147.72 : x
  2. Step 2: Convert to fraction form
    29,924.28/44,894.10 = 9,147.72/x
  3. Step 3: Cross multiply
    29,924.28x = 44,894.10 × 9,147.72
  4. Step 4: Simplify right side
    29,924.28x = 410,678,656.45
  5. Step 5: Solve for x
    x = 410,678,656.45/29,924.28
  6. Step 6: Final answer
    x = 13,723.93

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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.