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Finding the Fourth Proportional to 17,654.61, 24,363.35 and 9,697.35

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Solution

The fourth proportional to 17,654.61, 24,363.35 and 9,697.35 is: 13,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,654.61 : 24,363.35 = 9,697.35 : x
  2. Step 2: Convert to fraction form
    17,654.61/24,363.35 = 9,697.35/x
  3. Step 3: Cross multiply
    17,654.61x = 24,363.35 × 9,697.35
  4. Step 4: Simplify right side
    17,654.61x = 236,259,883.64
  5. Step 5: Solve for x
    x = 236,259,883.64/17,654.61
  6. Step 6: Final answer
    x = 13,382.33

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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.