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Finding the Fourth Proportional to 14,050.24, 19,383.24 and 8,458

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Solution

The fourth proportional to 14,050.24, 19,383.24 and 8,458 is: 11,668.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,050.24 : 19,383.24 = 8,458 : x
  2. Step 2: Convert to fraction form
    14,050.24/19,383.24 = 8,458/x
  3. Step 3: Cross multiply
    14,050.24x = 19,383.24 × 8,458
  4. Step 4: Simplify right side
    14,050.24x = 163,943,443.92
  5. Step 5: Solve for x
    x = 163,943,443.92/14,050.24
  6. Step 6: Final answer
    x = 11,668.37

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Why These Related Problems?

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