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Finding the Fourth Proportional to 14,029.71, 21,040.95 and 4,166.76

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Solution

The fourth proportional to 14,029.71, 21,040.95 and 4,166.76 is: 6,249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,029.71 : 21,040.95 = 4,166.76 : x
  2. Step 2: Convert to fraction form
    14,029.71/21,040.95 = 4,166.76/x
  3. Step 3: Cross multiply
    14,029.71x = 21,040.95 × 4,166.76
  4. Step 4: Simplify right side
    14,029.71x = 87,672,588.82
  5. Step 5: Solve for x
    x = 87,672,588.82/14,029.71
  6. Step 6: Final answer
    x = 6,249.07

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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.