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Finding the Fourth Proportional to 12,812.85, 17,681.70 and 7,506.60

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Solution

The fourth proportional to 12,812.85, 17,681.70 and 7,506.60 is: 10,359.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.85 : 17,681.70 = 7,506.60 : x
  2. Step 2: Convert to fraction form
    12,812.85/17,681.70 = 7,506.60/x
  3. Step 3: Cross multiply
    12,812.85x = 17,681.70 × 7,506.60
  4. Step 4: Simplify right side
    12,812.85x = 132,729,449.22
  5. Step 5: Solve for x
    x = 132,729,449.22/12,812.85
  6. Step 6: Final answer
    x = 10,359.09

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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.