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Finding the Fourth Proportional to 14,325.51, 21,494.72 and 7,743.99

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Solution

The fourth proportional to 14,325.51, 21,494.72 and 7,743.99 is: 11,619.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,325.51 : 21,494.72 = 7,743.99 : x
  2. Step 2: Convert to fraction form
    14,325.51/21,494.72 = 7,743.99/x
  3. Step 3: Cross multiply
    14,325.51x = 21,494.72 × 7,743.99
  4. Step 4: Simplify right side
    14,325.51x = 166,454,896.73
  5. Step 5: Solve for x
    x = 166,454,896.73/14,325.51
  6. Step 6: Final answer
    x = 11,619.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.