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Finding the Fourth Proportional to 12,706.30, 17,534.22 and 7,328.96

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Solution

The fourth proportional to 12,706.30, 17,534.22 and 7,328.96 is: 10,113.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.30 : 17,534.22 = 7,328.96 : x
  2. Step 2: Convert to fraction form
    12,706.30/17,534.22 = 7,328.96/x
  3. Step 3: Cross multiply
    12,706.30x = 17,534.22 × 7,328.96
  4. Step 4: Simplify right side
    12,706.30x = 128,507,604.10
  5. Step 5: Solve for x
    x = 128,507,604.10/12,706.30
  6. Step 6: Final answer
    x = 10,113.69

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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.