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Finding the Fourth Proportional to 17,924.23, 24,735.75 and 9,858.75

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Solution

The fourth proportional to 17,924.23, 24,735.75 and 9,858.75 is: 13,605.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,924.23 : 24,735.75 = 9,858.75 : x
  2. Step 2: Convert to fraction form
    17,924.23/24,735.75 = 9,858.75/x
  3. Step 3: Cross multiply
    17,924.23x = 24,735.75 × 9,858.75
  4. Step 4: Simplify right side
    17,924.23x = 243,863,526.02
  5. Step 5: Solve for x
    x = 243,863,526.02/17,924.23
  6. Step 6: Final answer
    x = 13,605.25

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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.