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Finding the Fourth Proportional to 14,914, 22,371 and 4,526.56

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Solution

The fourth proportional to 14,914, 22,371 and 4,526.56 is: 6,789.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,914 : 22,371 = 4,526.56 : x
  2. Step 2: Convert to fraction form
    14,914/22,371 = 4,526.56/x
  3. Step 3: Cross multiply
    14,914x = 22,371 × 4,526.56
  4. Step 4: Simplify right side
    14,914x = 101,263,673.76
  5. Step 5: Solve for x
    x = 101,263,673.76/14,914
  6. Step 6: Final answer
    x = 6,789.84

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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.