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Finding the Fourth Proportional to 25,654.72, 35,402.12 and 14,476

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Solution

The fourth proportional to 25,654.72, 35,402.12 and 14,476 is: 19,976.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,654.72 : 35,402.12 = 14,476 : x
  2. Step 2: Convert to fraction form
    25,654.72/35,402.12 = 14,476/x
  3. Step 3: Cross multiply
    25,654.72x = 35,402.12 × 14,476
  4. Step 4: Simplify right side
    25,654.72x = 512,481,089.12
  5. Step 5: Solve for x
    x = 512,481,089.12/25,654.72
  6. Step 6: Final answer
    x = 19,976.09

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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.