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Finding the Fourth Proportional to 12,825.71, 17,706.84 and 9,776.89

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Solution

The fourth proportional to 12,825.71, 17,706.84 and 9,776.89 is: 13,497.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.71 : 17,706.84 = 9,776.89 : x
  2. Step 2: Convert to fraction form
    12,825.71/17,706.84 = 9,776.89/x
  3. Step 3: Cross multiply
    12,825.71x = 17,706.84 × 9,776.89
  4. Step 4: Simplify right side
    12,825.71x = 173,117,812.40
  5. Step 5: Solve for x
    x = 173,117,812.40/12,825.71
  6. Step 6: Final answer
    x = 13,497.72

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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.