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Finding the Fourth Proportional to 12,706.67, 17,534.42 and 7,463.51

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Solution

The fourth proportional to 12,706.67, 17,534.42 and 7,463.51 is: 10,299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.67 : 17,534.42 = 7,463.51 : x
  2. Step 2: Convert to fraction form
    12,706.67/17,534.42 = 7,463.51/x
  3. Step 3: Cross multiply
    12,706.67x = 17,534.42 × 7,463.51
  4. Step 4: Simplify right side
    12,706.67x = 130,868,281.70
  5. Step 5: Solve for x
    x = 130,868,281.70/12,706.67
  6. Step 6: Final answer
    x = 10,299.18

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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.