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Finding the Fourth Proportional to 14,487.50, 21,732.06 and 4,100.06

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Solution

The fourth proportional to 14,487.50, 21,732.06 and 4,100.06 is: 6,150.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,487.50 : 21,732.06 = 4,100.06 : x
  2. Step 2: Convert to fraction form
    14,487.50/21,732.06 = 4,100.06/x
  3. Step 3: Cross multiply
    14,487.50x = 21,732.06 × 4,100.06
  4. Step 4: Simplify right side
    14,487.50x = 89,102,749.92
  5. Step 5: Solve for x
    x = 89,102,749.92/14,487.50
  6. Step 6: Final answer
    x = 6,150.32

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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.