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Finding the Fourth Proportional to 25,654.40, 35,402.96 and 14,476.40

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Solution

The fourth proportional to 25,654.40, 35,402.96 and 14,476.40 is: 19,977.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,654.40 : 35,402.96 = 14,476.40 : x
  2. Step 2: Convert to fraction form
    25,654.40/35,402.96 = 14,476.40/x
  3. Step 3: Cross multiply
    25,654.40x = 35,402.96 × 14,476.40
  4. Step 4: Simplify right side
    25,654.40x = 512,507,410.14
  5. Step 5: Solve for x
    x = 512,507,410.14/25,654.40
  6. Step 6: Final answer
    x = 19,977.37

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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.