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Finding the Fourth Proportional to 17,833.44, 24,609.83 and 9,875.64

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Solution

The fourth proportional to 17,833.44, 24,609.83 and 9,875.64 is: 13,628.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,833.44 : 24,609.83 = 9,875.64 : x
  2. Step 2: Convert to fraction form
    17,833.44/24,609.83 = 9,875.64/x
  3. Step 3: Cross multiply
    17,833.44x = 24,609.83 × 9,875.64
  4. Step 4: Simplify right side
    17,833.44x = 243,037,772.16
  5. Step 5: Solve for x
    x = 243,037,772.16/17,833.44
  6. Step 6: Final answer
    x = 13,628.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.