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Finding the Fourth Proportional to 12,427.72, 17,146.56 and 7,389.40

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Solution

The fourth proportional to 12,427.72, 17,146.56 and 7,389.40 is: 10,195.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.72 : 17,146.56 = 7,389.40 : x
  2. Step 2: Convert to fraction form
    12,427.72/17,146.56 = 7,389.40/x
  3. Step 3: Cross multiply
    12,427.72x = 17,146.56 × 7,389.40
  4. Step 4: Simplify right side
    12,427.72x = 126,702,790.46
  5. Step 5: Solve for x
    x = 126,702,790.46/12,427.72
  6. Step 6: Final answer
    x = 10,195.18

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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.