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Finding the Fourth Proportional to 14,716, 22,059.42 and 6,910.84

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Solution

The fourth proportional to 14,716, 22,059.42 and 6,910.84 is: 10,359.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716 : 22,059.42 = 6,910.84 : x
  2. Step 2: Convert to fraction form
    14,716/22,059.42 = 6,910.84/x
  3. Step 3: Cross multiply
    14,716x = 22,059.42 × 6,910.84
  4. Step 4: Simplify right side
    14,716x = 152,449,122.11
  5. Step 5: Solve for x
    x = 152,449,122.11/14,716
  6. Step 6: Final answer
    x = 10,359.41

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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.