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Finding the Fourth Proportional to 25,614.42, 38,421.62 and 6,894.49

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Solution

The fourth proportional to 25,614.42, 38,421.62 and 6,894.49 is: 10,341.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,614.42 : 38,421.62 = 6,894.49 : x
  2. Step 2: Convert to fraction form
    25,614.42/38,421.62 = 6,894.49/x
  3. Step 3: Cross multiply
    25,614.42x = 38,421.62 × 6,894.49
  4. Step 4: Simplify right side
    25,614.42x = 264,897,474.87
  5. Step 5: Solve for x
    x = 264,897,474.87/25,614.42
  6. Step 6: Final answer
    x = 10,341.73

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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.