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Finding the Fourth Proportional to 17,654.48, 24,364.62 and 9,698.24

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Solution

The fourth proportional to 17,654.48, 24,364.62 and 9,698.24 is: 13,384.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,654.48 : 24,364.62 = 9,698.24 : x
  2. Step 2: Convert to fraction form
    17,654.48/24,364.62 = 9,698.24/x
  3. Step 3: Cross multiply
    17,654.48x = 24,364.62 × 9,698.24
  4. Step 4: Simplify right side
    17,654.48x = 236,293,932.27
  5. Step 5: Solve for x
    x = 236,293,932.27/17,654.48
  6. Step 6: Final answer
    x = 13,384.36

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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.