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Finding the Fourth Proportional to 25,346.16, 37,986.12 and 13,634.16

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Solution

The fourth proportional to 25,346.16, 37,986.12 and 13,634.16 is: 20,433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,346.16 : 37,986.12 = 13,634.16 : x
  2. Step 2: Convert to fraction form
    25,346.16/37,986.12 = 13,634.16/x
  3. Step 3: Cross multiply
    25,346.16x = 37,986.12 × 13,634.16
  4. Step 4: Simplify right side
    25,346.16x = 517,908,837.86
  5. Step 5: Solve for x
    x = 517,908,837.86/25,346.16
  6. Step 6: Final answer
    x = 20,433.42

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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.