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Finding the Fourth Proportional to 11,950.24, 17,925.24 and 4,159

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Solution

The fourth proportional to 11,950.24, 17,925.24 and 4,159 is: 6,238.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,950.24 : 17,925.24 = 4,159 : x
  2. Step 2: Convert to fraction form
    11,950.24/17,925.24 = 4,159/x
  3. Step 3: Cross multiply
    11,950.24x = 17,925.24 × 4,159
  4. Step 4: Simplify right side
    11,950.24x = 74,551,073.16
  5. Step 5: Solve for x
    x = 74,551,073.16/11,950.24
  6. Step 6: Final answer
    x = 6,238.46

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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.