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Finding the Fourth Proportional to 14,608.50, 21,901.82 and 4,741.89

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Solution

The fourth proportional to 14,608.50, 21,901.82 and 4,741.89 is: 7,109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,608.50 : 21,901.82 = 4,741.89 : x
  2. Step 2: Convert to fraction form
    14,608.50/21,901.82 = 4,741.89/x
  3. Step 3: Cross multiply
    14,608.50x = 21,901.82 × 4,741.89
  4. Step 4: Simplify right side
    14,608.50x = 103,855,997.53
  5. Step 5: Solve for x
    x = 103,855,997.53/14,608.50
  6. Step 6: Final answer
    x = 7,109.29

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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.