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Finding the Fourth Proportional to 12,446.79, 17,177.03 and 7,665.76

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Solution

The fourth proportional to 12,446.79, 17,177.03 and 7,665.76 is: 10,579.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.79 : 17,177.03 = 7,665.76 : x
  2. Step 2: Convert to fraction form
    12,446.79/17,177.03 = 7,665.76/x
  3. Step 3: Cross multiply
    12,446.79x = 17,177.03 × 7,665.76
  4. Step 4: Simplify right side
    12,446.79x = 131,674,989.49
  5. Step 5: Solve for x
    x = 131,674,989.49/12,446.79
  6. Step 6: Final answer
    x = 10,579.03

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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.