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Finding the Fourth Proportional to 19,654.34, 29,464.10 and 14,093.70

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Solution

The fourth proportional to 19,654.34, 29,464.10 and 14,093.70 is: 21,128.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,654.34 : 29,464.10 = 14,093.70 : x
  2. Step 2: Convert to fraction form
    19,654.34/29,464.10 = 14,093.70/x
  3. Step 3: Cross multiply
    19,654.34x = 29,464.10 × 14,093.70
  4. Step 4: Simplify right side
    19,654.34x = 415,258,186.17
  5. Step 5: Solve for x
    x = 415,258,186.17/19,654.34
  6. Step 6: Final answer
    x = 21,128.07

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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.