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Finding the Fourth Proportional to 25,174, 34,742.28 and 13,998.16

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Solution

The fourth proportional to 25,174, 34,742.28 and 13,998.16 is: 19,318.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,174 : 34,742.28 = 13,998.16 : x
  2. Step 2: Convert to fraction form
    25,174/34,742.28 = 13,998.16/x
  3. Step 3: Cross multiply
    25,174x = 34,742.28 × 13,998.16
  4. Step 4: Simplify right side
    25,174x = 486,327,994.20
  5. Step 5: Solve for x
    x = 486,327,994.20/25,174
  6. Step 6: Final answer
    x = 19,318.66

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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.