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Finding the Fourth Proportional to 15,834.69, 21,853.95 and 9,119.25

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Solution

The fourth proportional to 15,834.69, 21,853.95 and 9,119.25 is: 12,585.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,834.69 : 21,853.95 = 9,119.25 : x
  2. Step 2: Convert to fraction form
    15,834.69/21,853.95 = 9,119.25/x
  3. Step 3: Cross multiply
    15,834.69x = 21,853.95 × 9,119.25
  4. Step 4: Simplify right side
    15,834.69x = 199,291,633.54
  5. Step 5: Solve for x
    x = 199,291,633.54/15,834.69
  6. Step 6: Final answer
    x = 12,585.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.