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Finding the Fourth Proportional to 17,884.70, 24,676.43 and 9,924.93

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Solution

The fourth proportional to 17,884.70, 24,676.43 and 9,924.93 is: 13,693.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,884.70 : 24,676.43 = 9,924.93 : x
  2. Step 2: Convert to fraction form
    17,884.70/24,676.43 = 9,924.93/x
  3. Step 3: Cross multiply
    17,884.70x = 24,676.43 × 9,924.93
  4. Step 4: Simplify right side
    17,884.70x = 244,911,717.02
  5. Step 5: Solve for x
    x = 244,911,717.02/17,884.70
  6. Step 6: Final answer
    x = 13,693.93

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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.