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Finding the Fourth Proportional to 17,833.84, 24,610.32 and 10,280.08

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Solution

The fourth proportional to 17,833.84, 24,610.32 and 10,280.08 is: 14,186.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,833.84 : 24,610.32 = 10,280.08 : x
  2. Step 2: Convert to fraction form
    17,833.84/24,610.32 = 10,280.08/x
  3. Step 3: Cross multiply
    17,833.84x = 24,610.32 × 10,280.08
  4. Step 4: Simplify right side
    17,833.84x = 252,996,058.43
  5. Step 5: Solve for x
    x = 252,996,058.43/17,833.84
  6. Step 6: Final answer
    x = 14,186.29

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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.