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Finding the Fourth Proportional to 25,609.65, 38,418.53 and 9,814.05

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Solution

The fourth proportional to 25,609.65, 38,418.53 and 9,814.05 is: 14,722.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,609.65 : 38,418.53 = 9,814.05 : x
  2. Step 2: Convert to fraction form
    25,609.65/38,418.53 = 9,814.05/x
  3. Step 3: Cross multiply
    25,609.65x = 38,418.53 × 9,814.05
  4. Step 4: Simplify right side
    25,609.65x = 377,041,325.28
  5. Step 5: Solve for x
    x = 377,041,325.28/25,609.65
  6. Step 6: Final answer
    x = 14,722.63

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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.