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Finding the Fourth Proportional to 17,846.57, 24,627.73 and 9,780.12

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Solution

The fourth proportional to 17,846.57, 24,627.73 and 9,780.12 is: 13,496.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,846.57 : 24,627.73 = 9,780.12 : x
  2. Step 2: Convert to fraction form
    17,846.57/24,627.73 = 9,780.12/x
  3. Step 3: Cross multiply
    17,846.57x = 24,627.73 × 9,780.12
  4. Step 4: Simplify right side
    17,846.57x = 240,862,214.57
  5. Step 5: Solve for x
    x = 240,862,214.57/17,846.57
  6. Step 6: Final answer
    x = 13,496.28

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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.