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Finding the Fourth Proportional to 25,172, 34,737.36 and 13,996.16

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Solution

The fourth proportional to 25,172, 34,737.36 and 13,996.16 is: 19,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,172 : 34,737.36 = 13,996.16 : x
  2. Step 2: Convert to fraction form
    25,172/34,737.36 = 13,996.16/x
  3. Step 3: Cross multiply
    25,172x = 34,737.36 × 13,996.16
  4. Step 4: Simplify right side
    25,172x = 486,189,648.54
  5. Step 5: Solve for x
    x = 486,189,648.54/25,172
  6. Step 6: Final answer
    x = 19,314.70

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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.