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Finding the Fourth Proportional to 17,547.74, 24,215.90 and 9,481.40

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Solution

The fourth proportional to 17,547.74, 24,215.90 and 9,481.40 is: 13,084.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,547.74 : 24,215.90 = 9,481.40 : x
  2. Step 2: Convert to fraction form
    17,547.74/24,215.90 = 9,481.40/x
  3. Step 3: Cross multiply
    17,547.74x = 24,215.90 × 9,481.40
  4. Step 4: Simplify right side
    17,547.74x = 229,600,634.26
  5. Step 5: Solve for x
    x = 229,600,634.26/17,547.74
  6. Step 6: Final answer
    x = 13,084.34

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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.