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Finding the Fourth Proportional to 12,825.57, 17,706.64 and 9,776.75

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Solution

The fourth proportional to 12,825.57, 17,706.64 and 9,776.75 is: 13,497.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.57 : 17,706.64 = 9,776.75 : x
  2. Step 2: Convert to fraction form
    12,825.57/17,706.64 = 9,776.75/x
  3. Step 3: Cross multiply
    12,825.57x = 17,706.64 × 9,776.75
  4. Step 4: Simplify right side
    12,825.57x = 173,113,392.62
  5. Step 5: Solve for x
    x = 173,113,392.62/12,825.57
  6. Step 6: Final answer
    x = 13,497.52

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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.