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Finding the Fourth Proportional to 25,633.69, 38,424.18 and 9,834.51

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Solution

The fourth proportional to 25,633.69, 38,424.18 and 9,834.51 is: 14,741.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,633.69 : 38,424.18 = 9,834.51 : x
  2. Step 2: Convert to fraction form
    25,633.69/38,424.18 = 9,834.51/x
  3. Step 3: Cross multiply
    25,633.69x = 38,424.18 × 9,834.51
  4. Step 4: Simplify right side
    25,633.69x = 377,882,945.57
  5. Step 5: Solve for x
    x = 377,882,945.57/25,633.69
  6. Step 6: Final answer
    x = 14,741.65

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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.