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Finding the Fourth Proportional to 17,204.42, 23,741.99 and 9,547.61

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Solution

The fourth proportional to 17,204.42, 23,741.99 and 9,547.61 is: 13,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,204.42 : 23,741.99 = 9,547.61 : x
  2. Step 2: Convert to fraction form
    17,204.42/23,741.99 = 9,547.61/x
  3. Step 3: Cross multiply
    17,204.42x = 23,741.99 × 9,547.61
  4. Step 4: Simplify right side
    17,204.42x = 226,679,094.70
  5. Step 5: Solve for x
    x = 226,679,094.70/17,204.42
  6. Step 6: Final answer
    x = 13,175.64

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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.