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Finding the Fourth Proportional to 24,843.79, 37,260.94 and 9,646.36

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Solution

The fourth proportional to 24,843.79, 37,260.94 and 9,646.36 is: 14,467.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,843.79 : 37,260.94 = 9,646.36 : x
  2. Step 2: Convert to fraction form
    24,843.79/37,260.94 = 9,646.36/x
  3. Step 3: Cross multiply
    24,843.79x = 37,260.94 × 9,646.36
  4. Step 4: Simplify right side
    24,843.79x = 359,432,406.10
  5. Step 5: Solve for x
    x = 359,432,406.10/24,843.79
  6. Step 6: Final answer
    x = 14,467.69

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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.