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Finding the Fourth Proportional to 17,864.60, 24,653.75 and 9,798.83

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Solution

The fourth proportional to 17,864.60, 24,653.75 and 9,798.83 is: 13,522.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,864.60 : 24,653.75 = 9,798.83 : x
  2. Step 2: Convert to fraction form
    17,864.60/24,653.75 = 9,798.83/x
  3. Step 3: Cross multiply
    17,864.60x = 24,653.75 × 9,798.83
  4. Step 4: Simplify right side
    17,864.60x = 241,577,732.85
  5. Step 5: Solve for x
    x = 241,577,732.85/17,864.60
  6. Step 6: Final answer
    x = 13,522.71

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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.