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Finding the Fourth Proportional to 17,842.68, 24,623.07 and 9,885.07

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Solution

The fourth proportional to 17,842.68, 24,623.07 and 9,885.07 is: 13,641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.68 : 24,623.07 = 9,885.07 : x
  2. Step 2: Convert to fraction form
    17,842.68/24,623.07 = 9,885.07/x
  3. Step 3: Cross multiply
    17,842.68x = 24,623.07 × 9,885.07
  4. Step 4: Simplify right side
    17,842.68x = 243,400,770.56
  5. Step 5: Solve for x
    x = 243,400,770.56/17,842.68
  6. Step 6: Final answer
    x = 13,641.49

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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.