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Finding the Fourth Proportional to 25,614.29, 38,421.44 and 6,894.37

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Solution

The fourth proportional to 25,614.29, 38,421.44 and 6,894.37 is: 10,341.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,614.29 : 38,421.44 = 6,894.37 : x
  2. Step 2: Convert to fraction form
    25,614.29/38,421.44 = 6,894.37/x
  3. Step 3: Cross multiply
    25,614.29x = 38,421.44 × 6,894.37
  4. Step 4: Simplify right side
    25,614.29x = 264,891,623.29
  5. Step 5: Solve for x
    x = 264,891,623.29/25,614.29
  6. Step 6: Final answer
    x = 10,341.56

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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.