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Finding the Fourth Proportional to 17,805.84, 24,570.18 and 9,846.80

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Solution

The fourth proportional to 17,805.84, 24,570.18 and 9,846.80 is: 13,587.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,805.84 : 24,570.18 = 9,846.80 : x
  2. Step 2: Convert to fraction form
    17,805.84/24,570.18 = 9,846.80/x
  3. Step 3: Cross multiply
    17,805.84x = 24,570.18 × 9,846.80
  4. Step 4: Simplify right side
    17,805.84x = 241,937,648.42
  5. Step 5: Solve for x
    x = 241,937,648.42/17,805.84
  6. Step 6: Final answer
    x = 13,587.54

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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.