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Finding the Fourth Proportional to 17,846.40, 24,628.06 and 9,778.77

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Solution

The fourth proportional to 17,846.40, 24,628.06 and 9,778.77 is: 13,494.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,846.40 : 24,628.06 = 9,778.77 : x
  2. Step 2: Convert to fraction form
    17,846.40/24,628.06 = 9,778.77/x
  3. Step 3: Cross multiply
    17,846.40x = 24,628.06 × 9,778.77
  4. Step 4: Simplify right side
    17,846.40x = 240,832,251.09
  5. Step 5: Solve for x
    x = 240,832,251.09/17,846.40
  6. Step 6: Final answer
    x = 13,494.72

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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.