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Finding the Fourth Proportional to 14,666.28, 20,239.38 and 8,378.28

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Solution

The fourth proportional to 14,666.28, 20,239.38 and 8,378.28 is: 11,561.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,666.28 : 20,239.38 = 8,378.28 : x
  2. Step 2: Convert to fraction form
    14,666.28/20,239.38 = 8,378.28/x
  3. Step 3: Cross multiply
    14,666.28x = 20,239.38 × 8,378.28
  4. Step 4: Simplify right side
    14,666.28x = 169,571,192.67
  5. Step 5: Solve for x
    x = 169,571,192.67/14,666.28
  6. Step 6: Final answer
    x = 11,561.98

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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.