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Finding the Fourth Proportional to 17,846.74, 24,627.68 and 9,780.36

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Solution

The fourth proportional to 17,846.74, 24,627.68 and 9,780.36 is: 13,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,846.74 : 24,627.68 = 9,780.36 : x
  2. Step 2: Convert to fraction form
    17,846.74/24,627.68 = 9,780.36/x
  3. Step 3: Cross multiply
    17,846.74x = 24,627.68 × 9,780.36
  4. Step 4: Simplify right side
    17,846.74x = 240,867,576.36
  5. Step 5: Solve for x
    x = 240,867,576.36/17,846.74
  6. Step 6: Final answer
    x = 13,496.45

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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.