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Finding the Fourth Proportional to 17,842.98, 24,623.31 and 9,885.69

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Solution

The fourth proportional to 17,842.98, 24,623.31 and 9,885.69 is: 13,642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.98 : 24,623.31 = 9,885.69 : x
  2. Step 2: Convert to fraction form
    17,842.98/24,623.31 = 9,885.69/x
  3. Step 3: Cross multiply
    17,842.98x = 24,623.31 × 9,885.69
  4. Step 4: Simplify right side
    17,842.98x = 243,418,409.43
  5. Step 5: Solve for x
    x = 243,418,409.43/17,842.98
  6. Step 6: Final answer
    x = 13,642.25

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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.