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Finding the Fourth Proportional to 12,407.30, 17,131.02 and 7,633.67

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Solution

The fourth proportional to 12,407.30, 17,131.02 and 7,633.67 is: 10,539.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.30 : 17,131.02 = 7,633.67 : x
  2. Step 2: Convert to fraction form
    12,407.30/17,131.02 = 7,633.67/x
  3. Step 3: Cross multiply
    12,407.30x = 17,131.02 × 7,633.67
  4. Step 4: Simplify right side
    12,407.30x = 130,772,439.16
  5. Step 5: Solve for x
    x = 130,772,439.16/12,407.30
  6. Step 6: Final answer
    x = 10,539.96

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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.