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Finding the Fourth Proportional to 17,842.67, 24,623.68 and 9,884.89

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Solution

The fourth proportional to 17,842.67, 24,623.68 and 9,884.89 is: 13,641.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.67 : 24,623.68 = 9,884.89 : x
  2. Step 2: Convert to fraction form
    17,842.67/24,623.68 = 9,884.89/x
  3. Step 3: Cross multiply
    17,842.67x = 24,623.68 × 9,884.89
  4. Step 4: Simplify right side
    17,842.67x = 243,402,245.08
  5. Step 5: Solve for x
    x = 243,402,245.08/17,842.67
  6. Step 6: Final answer
    x = 13,641.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.