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Finding the Fourth Proportional to 17,842.96, 24,622.56 and 9,885.52

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Solution

The fourth proportional to 17,842.96, 24,622.56 and 9,885.52 is: 13,641.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.96 : 24,622.56 = 9,885.52 : x
  2. Step 2: Convert to fraction form
    17,842.96/24,622.56 = 9,885.52/x
  3. Step 3: Cross multiply
    17,842.96x = 24,622.56 × 9,885.52
  4. Step 4: Simplify right side
    17,842.96x = 243,406,809.33
  5. Step 5: Solve for x
    x = 243,406,809.33/17,842.96
  6. Step 6: Final answer
    x = 13,641.62

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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.