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Finding the Fourth Proportional to 12,812.94, 17,680.51 and 7,506.77

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Solution

The fourth proportional to 12,812.94, 17,680.51 and 7,506.77 is: 10,358.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.94 : 17,680.51 = 7,506.77 : x
  2. Step 2: Convert to fraction form
    12,812.94/17,680.51 = 7,506.77/x
  3. Step 3: Cross multiply
    12,812.94x = 17,680.51 × 7,506.77
  4. Step 4: Simplify right side
    12,812.94x = 132,723,443.03
  5. Step 5: Solve for x
    x = 132,723,443.03/12,812.94
  6. Step 6: Final answer
    x = 10,358.55

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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.