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Finding the Fourth Proportional to 14,654.34, 21,955.41 and 12,697.38

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Solution

The fourth proportional to 14,654.34, 21,955.41 and 12,697.38 is: 19,023.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,654.34 : 21,955.41 = 12,697.38 : x
  2. Step 2: Convert to fraction form
    14,654.34/21,955.41 = 12,697.38/x
  3. Step 3: Cross multiply
    14,654.34x = 21,955.41 × 12,697.38
  4. Step 4: Simplify right side
    14,654.34x = 278,776,183.83
  5. Step 5: Solve for x
    x = 278,776,183.83/14,654.34
  6. Step 6: Final answer
    x = 19,023.46

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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.