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Finding the Fourth Proportional to 14,419.49, 21,624.89 and 7,751.88

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Solution

The fourth proportional to 14,419.49, 21,624.89 and 7,751.88 is: 11,625.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419.49 : 21,624.89 = 7,751.88 : x
  2. Step 2: Convert to fraction form
    14,419.49/21,624.89 = 7,751.88/x
  3. Step 3: Cross multiply
    14,419.49x = 21,624.89 × 7,751.88
  4. Step 4: Simplify right side
    14,419.49x = 167,633,513.53
  5. Step 5: Solve for x
    x = 167,633,513.53/14,419.49
  6. Step 6: Final answer
    x = 11,625.49

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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.