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Finding the Fourth Proportional to 18,686.40, 27,977.76 and 9,432.96

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Solution

The fourth proportional to 18,686.40, 27,977.76 and 9,432.96 is: 14,123.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,686.40 : 27,977.76 = 9,432.96 : x
  2. Step 2: Convert to fraction form
    18,686.40/27,977.76 = 9,432.96/x
  3. Step 3: Cross multiply
    18,686.40x = 27,977.76 × 9,432.96
  4. Step 4: Simplify right side
    18,686.40x = 263,913,090.97
  5. Step 5: Solve for x
    x = 263,913,090.97/18,686.40
  6. Step 6: Final answer
    x = 14,123.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.