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Finding the Fourth Proportional to 17,842.90, 24,623.40 and 9,885.25

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Solution

The fourth proportional to 17,842.90, 24,623.40 and 9,885.25 is: 13,641.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.90 : 24,623.40 = 9,885.25 : x
  2. Step 2: Convert to fraction form
    17,842.90/24,623.40 = 9,885.25/x
  3. Step 3: Cross multiply
    17,842.90x = 24,623.40 × 9,885.25
  4. Step 4: Simplify right side
    17,842.90x = 243,408,464.85
  5. Step 5: Solve for x
    x = 243,408,464.85/17,842.90
  6. Step 6: Final answer
    x = 13,641.75

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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.